Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290b |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
18116583699491200 = 27 · 52 · 74 · 119 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 11+ 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69295,-2695379] |
[a1,a2,a3,a4,a6] |
Generators |
[333:3161:1] |
Generators of the group modulo torsion |
j |
6499899/3200 |
j-invariant |
L |
2.1455273049734 |
L(r)(E,1)/r! |
Ω |
0.30941555685764 |
Real period |
R |
1.7335321844502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290bn1 59290ck1 |
Quadratic twists by: -7 -11 |