Atkin-Lehner |
2+ 3- 5+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110h |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
267520 |
Modular degree for the optimal curve |
Δ |
22294757740320 = 25 · 317 · 5 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -2 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10125,-317115] |
[a1,a2,a3,a4,a6] |
j |
157472748162001/30582658080 |
j-invariant |
L |
0.96473917254507 |
L(r)(E,1)/r! |
Ω |
0.48236959029188 |
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 |
32370bh1 |
Quadratic twists by: -3 |