Atkin-Lehner |
2- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58604j |
Isogeny class |
Conductor |
58604 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
287616 |
Modular degree for the optimal curve |
Δ |
3088826494208 = 28 · 79 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 0 0 7- -3 13- -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-686000,-218692684] |
[a1,a2,a3,a4,a6] |
j |
3456000000000/299 |
j-invariant |
L |
0.33177871871685 |
L(r)(E,1)/r! |
Ω |
0.16588935860982 |
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 |
58604b1 |
Quadratic twists by: -7 |