Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97682q |
Isogeny class |
Conductor |
97682 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4810752 |
Modular degree for the optimal curve |
Δ |
-54191813450093072 = -1 · 24 · 134 · 179 |
Discriminant |
Eigenvalues |
2- 3 4 -1 -4 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1230183,-524985041] |
[a1,a2,a3,a4,a6] |
j |
-298652123601/78608 |
j-invariant |
L |
14.335085298909 |
L(r)(E,1)/r! |
Ω |
0.071675428638233 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97682i1 5746i1 |
Quadratic twists by: 13 17 |