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	4845h	Isogeny class
Conductor	4845	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	34652942555625 = 312 · 54 · 172 · 192	Discriminant
Eigenvalues	-1 3- 5- -4  0 -2 17- 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-8380,82775]	[a1,a2,a3,a4,a6]
Generators	[-85:470:1]	Generators of the group modulo torsion
j	65081717751683521/34652942555625	j-invariant
L	2.6799406891176	L(r)(E,1)/r!
Ω	0.5723266244808	Real period
R	0.3902114303391	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	77520bx2 14535h2 24225b2 82365d2	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4845h2

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	-	-	-4	0	-2	-	-	4	-6	0	10	-10	4	0	-2	4	6	-4	-8	-14	8	4	10	-10

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Quadratic twists for elliptic curve 4845h2

-4	-3	5	17	-19
77520bx2	14535h2	24225b2	82365d2	92055j2

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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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