Cremona's table of elliptic curves

11715 = 3 · 5 · 11 · 71

Field	Data	Notes
Atkin-Lehner	3+ 5- 11+ 71-	Signs for the Atkin-Lehner involutions
Class	11715d	Isogeny class
Conductor	11715	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	1169449875 = 32 · 53 · 114 · 71	Discriminant
Eigenvalues	1 3+ 5-  0 11+  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-426002,-107197851]	[a1,a2,a3,a4,a6]
Generators	[6782:91879:8]	Generators of the group modulo torsion
j	8549883934105691275561/1169449875	j-invariant
L	4.7635722811776	L(r)(E,1)/r!
Ω	0.1868729805307	Real period
R	8.4969877536595	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	35145f4 58575o4 128865l4	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 11715d3

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	+	2	-2	0	-4	6	0	-2	6	4	-4	-6	-4	2	8	-	6	4	12	-6	-18

---

Quadratic twists for elliptic curve 11715d3

-3	5	-11
35145f4	58575o4	128865l4

---

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