Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97608i |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-735081119162578944 = -1 · 211 · 37 · 711 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,125816,37545584] |
[a1,a2,a3,a4,a6] |
Generators |
[4055:259308:1] |
Generators of the group modulo torsion |
j |
914133635854/3050823447 |
j-invariant |
L |
11.878636231537 |
L(r)(E,1)/r! |
Ω |
0.20169421628982 |
Real period |
R |
2.1033672439252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13944c1 |
Quadratic twists by: -7 |