Cremona's table of elliptic curves

11368 = 2³ · 7² · 29

Field	Data	Notes
Atkin-Lehner	2- 7+ 29+	Signs for the Atkin-Lehner involutions
Class	11368h	Isogeny class
Conductor	11368	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	83328	Modular degree for the optimal curve
Δ	65237347457296 = 24 · 78 · 294	Discriminant
Eigenvalues	2- -1 -1 7+  3 -6  7 -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-471396,-124416263]	[a1,a2,a3,a4,a6]
j	125596636689664/707281	j-invariant
L	0.7288080193809	L(r)(E,1)/r!
Ω	0.18220200484522	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	22736a1 90944g1 102312i1 11368j1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11368h1

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	-1	+	3	-6	7	-7	-3	+	11	-1	6	-12	-3	-9	-13	7	-5	-8	11	1	12	-13	14

---

Quadratic twists for elliptic curve 11368h1

-4	8	-3	-7
22736a1	90944g1	102312i1	11368j1

---

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