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	32	Product of Tamagawa factors cp
Δ	-197958255625 = -1 · 54 · 132 · 374	Discriminant
Eigenvalues	-1  0 5-  4  4 13-  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,188,21336]	[a1,a2,a3,a4,a6]
j	738518126319/197958255625	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	4	Number of elements in the torsion subgroup
Twists	38480w3 21645j3 12025b4 117845f3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2405d4

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

---

Quadratic twists for elliptic curve 2405d4

-4	-3	5	-7	13	37
38480w3	21645j3	12025b4	117845f3	31265b3	88985a3

---

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

Part of Computational Number Theory
Back to Tables and computations