Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344dz |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
6080389219008 = 26 · 39 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 0 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4563,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
5.1044573942358 |
L(r)(E,1)/r! |
Ω |
0.63805717795088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344dz1 48672g2 97344eb1 576g1 |
Quadratic twists by: -4 8 -3 13 |