Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400p |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8478720 |
Modular degree for the optimal curve |
Δ |
-9.5476634162E+20 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 5 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,888125,1451318750] |
[a1,a2,a3,a4,a6] |
Generators |
[205629676983975552798:14512478032681365189817:296023491175723128] |
Generators of the group modulo torsion |
j |
32925150/405769 |
j-invariant |
L |
14.458735111945 |
L(r)(E,1)/r! |
Ω |
0.11582119381546 |
Real period |
R |
31.20917389045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127400ce1 18200f1 |
Quadratic twists by: 5 -7 |