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	451894285546875 = 36 · 58 · 174 · 19	Discriminant
Eigenvalues	-1 3- 5- -4  0 -2 17- 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-77635,-8269378]	[a1,a2,a3,a4,a6]
Generators	[-151:203:1]	Generators of the group modulo torsion
j	51748377040932542641/451894285546875	j-invariant
L	2.6799406891176	L(r)(E,1)/r!
Ω	0.2861633122404	Real period
R	0.19510571516955	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	77520bx4 14535h3 24225b4 82365d4	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4845h3

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 4845h3

-4	-3	5	17	-19
77520bx4	14535h3	24225b4	82365d4	92055j4

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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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