Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372a |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
403920 |
Modular degree for the optimal curve |
Δ |
-720938988387072 = -1 · 28 · 35 · 74 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 13+ 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22083,-278487] |
[a1,a2,a3,a4,a6] |
j |
401408/243 |
j-invariant |
L |
2.6528662359201 |
L(r)(E,1)/r! |
Ω |
0.29476292089739 |
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 |
99372bp1 588a1 |
Quadratic twists by: -7 13 |