Atkin-Lehner |
5+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
70525o |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-83431075 = -1 · 52 · 72 · 133 · 31 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- -5 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,104,-147] |
[a1,a2,a3,a4,a6] |
Generators |
[14:41:8] [3:12:1] |
Generators of the group modulo torsion |
j |
5045135135/3337243 |
j-invariant |
L |
8.6706241658809 |
L(r)(E,1)/r! |
Ω |
1.0939498043534 |
Real period |
R |
1.3209966507642 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70525r1 |
Quadratic twists by: 5 |