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	3520a	Isogeny class
Conductor	3520	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	1802240 = 215 · 5 · 11	Discriminant
Eigenvalues	2+  0 5+  0 11+  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2348,43792]	[a1,a2,a3,a4,a6]
Generators	[37:87:1]	Generators of the group modulo torsion
j	43688592648/55	j-invariant
L	3.1948095153575	L(r)(E,1)/r!
Ω	2.2369235065505	Real period
R	2.8564316178018	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	3520d3 1760f3 31680bq4 17600a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3520a3

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	+	0	+	2	-2	4	0	6	4	10	-6	-4	-8	-6	-12	-2	-8	-12	-2	-8	12	-6	-6

---

Quadratic twists for elliptic curve 3520a3

-4	8	-3	5	-11
3520d3	1760f3	31680bq4	17600a3	38720e4

---

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