Cremona's table of elliptic curves

4845 = 3 · 5 · 17 · 19

Field	Data	Notes
Atkin-Lehner	3+ 5+ 17+ 19+	Signs for the Atkin-Lehner involutions
Class	4845a	Isogeny class
Conductor	4845	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	176640	Modular degree for the optimal curve
Δ	1037950963425 = 34 · 52 · 175 · 192	Discriminant
Eigenvalues	1 3+ 5+ -2 -2  6 17+ 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-59900223,178414451352]	[a1,a2,a3,a4,a6]
Generators	[284052:77709:64]	Generators of the group modulo torsion
j	23768897678689118960520250489/1037950963425	j-invariant
L	3.3087609893993	L(r)(E,1)/r!
Ω	0.3253547183082	Real period
R	5.0848517067839	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	77520cg1 14535l1 24225l1 82365n1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4845a1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
1	+	+	-2	-2	6	+	+	6	4	0	0	0	0	-8	-2	4	2	4	0	-2	12	-12	-10	4

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Quadratic twists for elliptic curve 4845a1

-4	-3	5	17	-19
77520cg1	14535l1	24225l1	82365n1	92055p1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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