Atkin-Lehner |
2+ 3- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97704f |
Isogeny class |
Conductor |
97704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-933854832 = -1 · 24 · 36 · 23 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 6 -3 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255,-2149] |
[a1,a2,a3,a4,a6] |
j |
-157216000/80063 |
j-invariant |
L |
2.3332805543325 |
L(r)(E,1)/r! |
Ω |
0.58332016283854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10856c1 |
Quadratic twists by: -3 |