Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97608k |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
1469885899776 = 210 · 3 · 78 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -6 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3152,-36240] |
[a1,a2,a3,a4,a6] |
j |
28756228/12201 |
j-invariant |
L |
1.3237308965056 |
L(r)(E,1)/r! |
Ω |
0.66186546316705 |
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 |
13944b1 |
Quadratic twists by: -7 |