Cremona's table of elliptic curves

3605 = 5 · 7 · 103

Field	Data	Notes
Atkin-Lehner	5- 7- 103-	Signs for the Atkin-Lehner involutions
Class	3605c	Isogeny class
Conductor	3605	Conductor
∏ cp	27	Product of Tamagawa factors cp
Δ	46850670125 = 53 · 73 · 1033	Discriminant
Eigenvalues	0 -2 5- 7-  6  5  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-10365,-409506]	[a1,a2,a3,a4,a6]
j	123161091984326656/46850670125	j-invariant
L	1.4194983954043	L(r)(E,1)/r!
Ω	0.47316613180144	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	57680v2 32445k2 18025a2 25235a2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3605c2

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
0	-2	-	-	6	5	3	2	0	-3	5	2	0	-1	-6	3	-12	8	-4	6	2	-1	15	3	-10

---

Quadratic twists for elliptic curve 3605c2

-4	-3	5	-7
57680v2	32445k2	18025a2	25235a2

---

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