Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344i |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-20235535320858624 = -1 · 214 · 39 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,54756,-4745520] |
[a1,a2,a3,a4,a6] |
Generators |
[10270:1041040:1] |
Generators of the group modulo torsion |
j |
11664/13 |
j-invariant |
L |
7.7233894416864 |
L(r)(E,1)/r! |
Ω |
0.20737130107139 |
Real period |
R |
4.655531763008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344dv1 12168a1 97344q1 7488g1 |
Quadratic twists by: -4 8 -3 13 |