Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34790s |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-586773728665600000 = -1 · 216 · 55 · 79 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 3 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,119314,33315883] |
[a1,a2,a3,a4,a6] |
j |
4654953440873/14540800000 |
j-invariant |
L |
6.5579083036232 |
L(r)(E,1)/r! |
Ω |
0.20493463448815 |
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 |
34790bd1 |
Quadratic twists by: -7 |