Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350bo |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-35218750000000000 = -1 · 210 · 515 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -2 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37563,9438281] |
[a1,a2,a3,a4,a6] |
j |
-7655774616889/46000000000 |
j-invariant |
L |
6.3359812016341 |
L(r)(E,1)/r! |
Ω |
0.31679906005301 |
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 |
11270g1 56350bd1 |
Quadratic twists by: 5 -7 |