Cremona's table of elliptic curves

3520 = 2⁶ · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5- 11-	Signs for the Atkin-Lehner involutions
Class	3520l	Isogeny class
Conductor	3520	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	15488000 = 210 · 53 · 112	Discriminant
Eigenvalues	2+  0 5- -2 11-  0  0  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-152,-696]	[a1,a2,a3,a4,a6]
Generators	[-7:5:1]	Generators of the group modulo torsion
j	379275264/15125	j-invariant
L	3.4477322179159	L(r)(E,1)/r!
Ω	1.3630289409666	Real period
R	0.8431545641457	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	3520bc1 440a1 31680j1 17600l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3520l1

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	-	0	0	8	-8	-10	8	10	-2	6	-8	-14	4	-10	-4	0	-8	-4	-10	6	-10

---

Quadratic twists for elliptic curve 3520l1

-4	8	-3	5	-11
3520bc1	440a1	31680j1	17600l1	38720bf1

---

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