Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344dv |
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] |
j |
11664/13 |
j-invariant |
L |
2.0445023789281 |
L(r)(E,1)/r! |
Ω |
0.25556280331737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344i1 24336b1 97344dx1 7488bj1 |
Quadratic twists by: -4 8 -3 13 |