Atkin-Lehner |
2- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58604c |
Isogeny class |
Conductor |
58604 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-1059467487513344 = -1 · 28 · 712 · 13 · 23 |
Discriminant |
Eigenvalues |
2- -1 3 7- 3 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9931,1515697] |
[a1,a2,a3,a4,a6] |
Generators |
[93:33614:27] |
Generators of the group modulo torsion |
j |
3596091392/35177051 |
j-invariant |
L |
7.0332880893004 |
L(r)(E,1)/r! |
Ω |
0.36090178435602 |
Real period |
R |
1.6240078774553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8372d1 |
Quadratic twists by: -7 |