Atkin-Lehner |
5+ 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70525h |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
72192 |
Modular degree for the optimal curve |
Δ |
-20055546875 = -1 · 57 · 72 · 132 · 31 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7+ 0 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1008,14418] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:-163:1] [21:45:1] |
Generators of the group modulo torsion |
j |
-7256313856/1283555 |
j-invariant |
L |
4.1422553031393 |
L(r)(E,1)/r! |
Ω |
1.169770909752 |
Real period |
R |
0.22131765654886 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14105d1 |
Quadratic twists by: 5 |