Atkin-Lehner |
2- 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650bp |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
75878437500000 = 25 · 33 · 510 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 5 6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10638,-56469] |
[a1,a2,a3,a4,a6] |
j |
13633462825/7769952 |
j-invariant |
L |
5.0847544170254 |
L(r)(E,1)/r! |
Ω |
0.50847544140354 |
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 |
58650x1 |
Quadratic twists by: 5 |