Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
58656k |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
7905890304 = 212 · 35 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 1 5 -3 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2445,45531] |
[a1,a2,a3,a4,a6] |
Generators |
[9:156:1] |
Generators of the group modulo torsion |
j |
394800749056/1930149 |
j-invariant |
L |
9.9139840999415 |
L(r)(E,1)/r! |
Ω |
1.3213197876256 |
Real period |
R |
0.37515460649989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58656a1 117312cj1 |
Quadratic twists by: -4 8 |