Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200fp |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
247726080 |
Modular degree for the optimal curve |
Δ |
1.7178903906877E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55556057408,-5040185218852812] |
[a1,a2,a3,a4,a6] |
j |
296304326013275547793071733369/268420373544960000000 |
j-invariant |
L |
2.5174257151019 |
L(r)(E,1)/r! |
Ω |
0.0098336947647821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bz1 21840bh1 |
Quadratic twists by: -4 5 |