Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600j |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-51894000000000 = -1 · 210 · 33 · 59 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3075,-352750] |
[a1,a2,a3,a4,a6] |
Generators |
[145:-1500:1] [209:2852:1] |
Generators of the group modulo torsion |
j |
-7443468/120125 |
j-invariant |
L |
10.376696063791 |
L(r)(E,1)/r! |
Ω |
0.27124294473602 |
Real period |
R |
2.3910059845492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977852 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800bf1 111600i1 22320b1 |
Quadratic twists by: -4 -3 5 |