Atkin-Lehner |
2- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638s |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-31167258251276 = -1 · 22 · 78 · 17 · 433 |
Discriminant |
Eigenvalues |
2- -1 1 7- 0 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,685,-268227] |
[a1,a2,a3,a4,a6] |
j |
302111711/264917324 |
j-invariant |
L |
2.4596371588621 |
L(r)(E,1)/r! |
Ω |
0.30745464778762 |
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 |
10234i1 |
Quadratic twists by: -7 |