Cremona's table of elliptic curves

6916 = 2² · 7 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 7- 13+ 19-	Signs for the Atkin-Lehner involutions
Class	6916f	Isogeny class
Conductor	6916	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	33264	Modular degree for the optimal curve
Δ	-1539647589097072 = -1 · 24 · 72 · 133 · 197	Discriminant
Eigenvalues	2-  0  4 7- -2 13+  3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6653,-1899375]	[a1,a2,a3,a4,a6]
j	-2035430602516224/96227974318567	j-invariant
L	2.9217117641392	L(r)(E,1)/r!
Ω	0.20869369743851	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	27664i1 110656t1 62244bf1 48412n1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6916f1

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	4	-	-2	+	3	-	7	0	-5	11	1	-5	0	4	-7	5	-3	0	-14	8	-4	6	15

---

Quadratic twists for elliptic curve 6916f1

-4	8	-3	-7	13
27664i1	110656t1	62244bf1	48412n1	89908c1

---

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