Atkin-Lehner |
2- 3+ 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
97614y |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
77952 |
Modular degree for the optimal curve |
Δ |
-13662836352 = -1 · 27 · 39 · 11 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1649,26785] |
[a1,a2,a3,a4,a6] |
Generators |
[25:14:1] |
Generators of the group modulo torsion |
j |
-25179520491/694144 |
j-invariant |
L |
13.919074897102 |
L(r)(E,1)/r! |
Ω |
1.2522882848736 |
Real period |
R |
0.79392233201145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97614e1 |
Quadratic twists by: -3 |