Atkin-Lehner |
2- 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
102672bd |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
57483177984 = 212 · 39 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -5 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2187,-37638] |
[a1,a2,a3,a4,a6] |
j |
14348907/713 |
j-invariant |
L |
2.8011407945599 |
L(r)(E,1)/r! |
Ω |
0.70028518265496 |
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 |
6417a1 102672y1 |
Quadratic twists by: -4 -3 |