Cremona's table of elliptic curves

11616 = 2⁵ · 3 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 11-	Signs for the Atkin-Lehner involutions
Class	11616k	Isogeny class
Conductor	11616	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	25344	Modular degree for the optimal curve
Δ	-7902125789184 = -1 · 212 · 32 · 118	Discriminant
Eigenvalues	2+ 3- -1 -2 11-  1  5 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-19521,1051983]	[a1,a2,a3,a4,a6]
Generators	[-81:1452:1]	Generators of the group modulo torsion
j	-937024/9	j-invariant
L	4.9038772334967	L(r)(E,1)/r!
Ω	0.74270139365194	Real period
R	0.27511489786987	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11616r1 23232k1 34848bt1 11616y1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 11616k1

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	-2	-	1	5	-8	6	3	4	-11	-3	2	4	3	6	-10	-2	6	-2	0	-12	13	-9

---

Quadratic twists for elliptic curve 11616k1

-4	8	-3	-11
11616r1	23232k1	34848bt1	11616y1

---

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