Atkin-Lehner |
2- 3+ 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
23010n |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
14786743725000 = 23 · 33 · 55 · 135 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -3 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6225,-41433] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:356:1] |
Generators of the group modulo torsion |
j |
26677562117216401/14786743725000 |
j-invariant |
L |
6.8050941218717 |
L(r)(E,1)/r! |
Ω |
0.57590919590936 |
Real period |
R |
0.15755016404687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69030l1 115050v1 |
Quadratic twists by: -3 5 |