Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650bi |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-95342906250 = -1 · 2 · 33 · 56 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-613,-16219] |
[a1,a2,a3,a4,a6] |
Generators |
[20065252988:459833573369:36594368] |
Generators of the group modulo torsion |
j |
-1630532233/6101946 |
j-invariant |
L |
7.8819111429598 |
L(r)(E,1)/r! |
Ω |
0.43911425508465 |
Real period |
R |
17.949567912568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346g1 |
Quadratic twists by: 5 |