Atkin-Lehner |
2- 5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
58520u |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
1015219824080 = 24 · 5 · 74 · 114 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3235,-52722] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:133:1] |
Generators of the group modulo torsion |
j |
234078122960896/63451239005 |
j-invariant |
L |
3.5950215677225 |
L(r)(E,1)/r! |
Ω |
0.64588338461344 |
Real period |
R |
0.69575670572552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040n1 |
Quadratic twists by: -4 |