Atkin-Lehner |
2- 3- 11+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614bc |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29120 |
Modular degree for the optimal curve |
Δ |
7906734 = 2 · 36 · 11 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 4 11+ -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92,-287] |
[a1,a2,a3,a4,a6] |
Generators |
[-135604:139355:21952] |
Generators of the group modulo torsion |
j |
116930169/10846 |
j-invariant |
L |
13.306475027186 |
L(r)(E,1)/r! |
Ω |
1.5520115736219 |
Real period |
R |
8.5736957387163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10846a1 |
Quadratic twists by: -3 |