Atkin-Lehner |
2+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
118336k |
Isogeny class |
Conductor |
118336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
7573504 = 212 · 432 |
Discriminant |
Eigenvalues |
2+ 1 1 -1 -4 -1 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7625,253751] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-1:1] [35:176:1] |
Generators of the group modulo torsion |
j |
6474457024 |
j-invariant |
L |
13.735393746792 |
L(r)(E,1)/r! |
Ω |
1.836931433215 |
Real period |
R |
1.8693394724516 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118336n1 59168j1 118336e1 |
Quadratic twists by: -4 8 -43 |