Atkin-Lehner |
3- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
58575v |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
44845129828125 = 36 · 56 · 11 · 713 |
Discriminant |
Eigenvalues |
2 3- 5+ 5 11- -1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11258,324269] |
[a1,a2,a3,a4,a6] |
j |
10100107472896/2870088309 |
j-invariant |
L |
10.716850597918 |
L(r)(E,1)/r! |
Ω |
0.5953805891914 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2343e1 |
Quadratic twists by: 5 |