Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600fc |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
5.3188395976406E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24826258,-47474097488] |
[a1,a2,a3,a4,a6] |
Generators |
[-395290389147963958:-321958570765710564:143458131464549] |
Generators of the group modulo torsion |
j |
14383655824793536/45209390625 |
j-invariant |
L |
6.4853527569458 |
L(r)(E,1)/r! |
Ω |
0.067647819524227 |
Real period |
R |
23.967338592088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999610375 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600df1 23520u1 16800bx1 |
Quadratic twists by: -4 5 -7 |