Cremona's table of elliptic curves

7700 = 2² · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 11-	Signs for the Atkin-Lehner involutions
Class	7700d	Isogeny class
Conductor	7700	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	1.52254159211E+19	Discriminant
Eigenvalues	2-  2 5+ 7+ 11-  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4903508,-4173494488]	[a1,a2,a3,a4,a6]
Generators	[67537:17541750:1]	Generators of the group modulo torsion
j	3259751350395879376/3806353980275	j-invariant
L	5.8014357453921	L(r)(E,1)/r!
Ω	0.10146196636937	Real period
R	9.5297380108456	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30800bn4 123200h4 69300bb4 1540c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7700d4

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	+	+	-	4	0	-4	-6	-6	-4	-2	-6	4	-6	6	0	-10	-2	12	-8	-16	12	-18	10

---

Quadratic twists for elliptic curve 7700d4

-4	8	-3	5	-7	-11
30800bn4	123200h4	69300bb4	1540c4	53900v4	84700t4

---

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