Cremona's table of elliptic curves

2116 = 2² · 23²

Field	Data	Notes
Atkin-Lehner	2- 23-	Signs for the Atkin-Lehner involutions
Class	2116c	Isogeny class
Conductor	2116	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-28818442583408 = -1 · 24 · 239	Discriminant
Eigenvalues	2-  1  0 -2  0 -1  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9698,446045]	[a1,a2,a3,a4,a6]
Generators	[2199:12167:27]	Generators of the group modulo torsion
j	-42592000/12167	j-invariant
L	3.3453388032714	L(r)(E,1)/r!
Ω	0.62946271674198	Real period
R	1.3286485101876	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	8464n2 33856k2 19044f2 52900k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2116c2

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	0	-1	6	-2	-	-3	5	-8	3	-8	9	-6	-12	-14	-8	-15	-7	10	-6	0	10

---

Quadratic twists for elliptic curve 2116c2

-4	8	-3	5	-7	-23
8464n2	33856k2	19044f2	52900k2	103684e2	92a2

---

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