Atkin-Lehner |
2- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31262m |
Isogeny class |
Conductor |
31262 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
3999744 |
Modular degree for the optimal curve |
Δ |
12703425490911232 = 216 · 73 · 117 · 29 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 11- 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82413897,-287950417975] |
[a1,a2,a3,a4,a6] |
j |
180480771505187804898496647/37036225921024 |
j-invariant |
L |
2.8059987256949 |
L(r)(E,1)/r! |
Ω |
0.050107120101714 |
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 |
31262l1 |
Quadratic twists by: -7 |