Cremona's table of elliptic curves

10846 = 2 · 11 · 17 · 29

Field	Data	Notes
Atkin-Lehner	2- 11- 17- 29+	Signs for the Atkin-Lehner involutions
Class	10846g	Isogeny class
Conductor	10846	Conductor
∏ cp	84	Product of Tamagawa factors cp
deg	18816	Modular degree for the optimal curve
Δ	-282455523328 = -1 · 214 · 112 · 173 · 29	Discriminant
Eigenvalues	2- -2 -2 -3 11- -5 17- -5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3009,68233]	[a1,a2,a3,a4,a6]
Generators	[114:-1157:1] [-54:299:1]	Generators of the group modulo torsion
j	-3013001140430737/282455523328	j-invariant
L	5.6963166316011	L(r)(E,1)/r!
Ω	0.95321334001925	Real period
R	0.071141779480315	Regulator
r	2	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	86768h1 97614i1 119306f1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 10846g1

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
-	-2	-2	-3	-	-5	-	-5	0	+	-10	-7	-5	1	-9	3	-8	5	-8	-3	-1	14	-14	-8	-14

---

Quadratic twists for elliptic curve 10846g1

-4	-3	-11
86768h1	97614i1	119306f1

---

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