Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
45024h |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2019840 |
Modular degree for the optimal curve |
Δ |
-9.8361093693959E+18 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25148838,-48534672132] |
[a1,a2,a3,a4,a6] |
Generators |
[1625403668446211373838995349324:216566160369260604676240321440502:84676979453434204726528757] |
Generators of the group modulo torsion |
j |
-27485112906841078569016000/153689208896811483 |
j-invariant |
L |
5.587341117337 |
L(r)(E,1)/r! |
Ω |
0.033708539105578 |
Real period |
R |
41.438618118746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45024e1 90048t2 |
Quadratic twists by: -4 8 |