Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34790r |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-623436800 = -1 · 210 · 52 · 73 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 -5 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36,1189] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:25:1] [13:49:1] |
Generators of the group modulo torsion |
j |
-15069223/1817600 |
j-invariant |
L |
9.7429936467267 |
L(r)(E,1)/r! |
Ω |
1.3322422874707 |
Real period |
R |
0.18283073841663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34790bc1 |
Quadratic twists by: -7 |