Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200er |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-8778792960000000 = -1 · 220 · 37 · 57 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35925,-3667750] |
[a1,a2,a3,a4,a6] |
j |
109902239/188160 |
j-invariant |
L |
3.4647862593426 |
L(r)(E,1)/r! |
Ω |
0.21654914120891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3150bi1 100800nx1 8400bp1 5040bg1 |
Quadratic twists by: -4 8 -3 5 |