Cremona's table of elliptic curves

3630 = 2 · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 11-	Signs for the Atkin-Lehner involutions
Class	3630a	Isogeny class
Conductor	3630	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	2400	Modular degree for the optimal curve
Δ	36300000 = 25 · 3 · 55 · 112	Discriminant
Eigenvalues	2+ 3+ 5+ -1 11-  7  1 -7	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-783,-8763]	[a1,a2,a3,a4,a6]
j	439632699649/300000	j-invariant
L	0.90241167764094	L(r)(E,1)/r!
Ω	0.90241167764094	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29040cw1 116160ef1 10890cc1 18150cr1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630a1

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	-	7	1	-7	2	9	0	-7	12	-12	2	6	-10	2	-6	5	-4	14	-1	-8	0

---

Quadratic twists for elliptic curve 3630a1

-4	8	-3	5	-11
29040cw1	116160ef1	10890cc1	18150cr1	3630o1

---

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