Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400n |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14745600 |
Modular degree for the optimal curve |
Δ |
1.1021124933796E+23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -2 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12666908,6776598688] |
[a1,a2,a3,a4,a6] |
Generators |
[10663:1041250:1] |
Generators of the group modulo torsion |
j |
477625344356176/234195040625 |
j-invariant |
L |
2.8642146145209 |
L(r)(E,1)/r! |
Ω |
0.093720127560059 |
Real period |
R |
3.8201700857997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999741039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25480k1 18200b1 |
Quadratic twists by: 5 -7 |