Cremona's table of elliptic curves

2405 = 5 · 13 · 37

Field	Data	Notes
Atkin-Lehner	5- 13- 37-	Signs for the Atkin-Lehner involutions
Class	2405d	Isogeny class
Conductor	2405	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	150910183385 = 5 · 138 · 37	Discriminant
Eigenvalues	-1  0 5-  4  4 13-  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1582,-14996]	[a1,a2,a3,a4,a6]
j	437608510454961/150910183385	j-invariant
L	1.5566575409858	L(r)(E,1)/r!
Ω	0.77832877049289	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	38480w4 21645j4 12025b3 117845f4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2405d3

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	0	-	4	4	-	2	8	0	6	-4	-	-6	-12	12	-2	0	6	0	-8	2	4	-16	-14	2

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Quadratic twists for elliptic curve 2405d3

-4	-3	5	-7	13	37
38480w4	21645j4	12025b3	117845f4	31265b4	88985a4

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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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