Atkin-Lehner |
2- 3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350cz |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-1303090593750000 = -1 · 24 · 32 · 59 · 113 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,21362,-1252108] |
[a1,a2,a3,a4,a6] |
j |
551973381427/667182384 |
j-invariant |
L |
6.219721287382 |
L(r)(E,1)/r! |
Ω |
0.25915505570578 |
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 |
97350p1 |
Quadratic twists by: 5 |