Atkin-Lehner |
3- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118203g |
Isogeny class |
Conductor |
118203 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
72576000 |
Modular degree for the optimal curve |
Δ |
2.1040596470227E+27 |
Discriminant |
Eigenvalues |
0 3- -2 -4 4 -5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-597491499,-5170286893534] |
[a1,a2,a3,a4,a6] |
Generators |
[128940864:27956364853:2197] |
Generators of the group modulo torsion |
j |
26579618406634046390272/2370761600280886557 |
j-invariant |
L |
3.0890269136328 |
L(r)(E,1)/r! |
Ω |
0.030710327866539 |
Real period |
R |
3.5923546928781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999403037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3813a1 |
Quadratic twists by: -31 |