Atkin-Lehner |
2- 3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650bo |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-2725685437500 = -1 · 22 · 38 · 56 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2112,-69219] |
[a1,a2,a3,a4,a6] |
Generators |
[44552:430501:512] |
Generators of the group modulo torsion |
j |
66676466375/174443868 |
j-invariant |
L |
8.8598548833294 |
L(r)(E,1)/r! |
Ω |
0.41613742169987 |
Real period |
R |
5.3226737257882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2346f1 |
Quadratic twists by: 5 |