Atkin-Lehner |
2+ 3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410r |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
11592647302500 = 22 · 310 · 54 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13374,575680] |
[a1,a2,a3,a4,a6] |
Generators |
[26:482:1] |
Generators of the group modulo torsion |
j |
362909557944289/15902122500 |
j-invariant |
L |
4.5346676237584 |
L(r)(E,1)/r! |
Ω |
0.7086152082913 |
Real period |
R |
0.26663904770114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470t1 |
Quadratic twists by: -3 |