Atkin-Lehner |
2- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
20776o |
Isogeny class |
Conductor |
20776 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
10765841317215488 = 28 · 710 · 533 |
Discriminant |
Eigenvalues |
2- 0 4 7- 5 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55223,-168070] |
[a1,a2,a3,a4,a6] |
j |
257551056/148877 |
j-invariant |
L |
4.0871924609226 |
L(r)(E,1)/r! |
Ω |
0.34059937174355 |
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 |
41552k1 20776j1 |
Quadratic twists by: -4 -7 |