Cremona's table of elliptic curves

2926 = 2 · 7 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 7+ 11- 19-	Signs for the Atkin-Lehner involutions
Class	2926a	Isogeny class
Conductor	2926	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	-464100491008 = -1 · 28 · 73 · 114 · 192	Discriminant
Eigenvalues	2-  0 -2 7+ 11-  2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,1934,-1935]	[a1,a2,a3,a4,a6]
j	800393636529423/464100491008	j-invariant
L	2.2232152849008	L(r)(E,1)/r!
Ω	0.55580382122521	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	23408i1 93632b1 26334o1 73150n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2926a1

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	-2	+	-	2	6	-	0	-2	-4	6	-2	4	12	6	-8	-6	12	0	6	16	4	2	2

---

Quadratic twists for elliptic curve 2926a1

-4	8	-3	5	-7	-11	-19
23408i1	93632b1	26334o1	73150n1	20482k1	32186h1	55594c1

---

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