Atkin-Lehner |
2+ 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
98384d |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
529086914559632 = 24 · 113 · 132 · 435 |
Discriminant |
Eigenvalues |
2+ -2 -2 -1 11- 13+ -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-118464,15615295] |
[a1,a2,a3,a4,a6] |
Generators |
[177:473:1] |
Generators of the group modulo torsion |
j |
11491231494114164992/33067932159977 |
j-invariant |
L |
2.7060547564728 |
L(r)(E,1)/r! |
Ω |
0.52254723502987 |
Real period |
R |
0.17261946732528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49192d1 |
Quadratic twists by: -4 |