Atkin-Lehner |
2- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
66700b |
Isogeny class |
Conductor |
66700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10224 |
Modular degree for the optimal curve |
Δ |
-4268800 = -1 · 28 · 52 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -5 1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,40,20] |
[a1,a2,a3,a4,a6] |
Generators |
[61:479:1] |
Generators of the group modulo torsion |
j |
1105920/667 |
j-invariant |
L |
6.2815566121207 |
L(r)(E,1)/r! |
Ω |
1.5096256020551 |
Real period |
R |
4.1610029681981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66700g1 |
Quadratic twists by: 5 |