Atkin-Lehner |
2+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
35728f |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-199886612039856896 = -1 · 28 · 78 · 115 · 292 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 11+ 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,142823,-5528621] |
[a1,a2,a3,a4,a6] |
j |
1258563578645107712/780807078280691 |
j-invariant |
L |
0.73295626690311 |
L(r)(E,1)/r! |
Ω |
0.18323906673058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17864p1 |
Quadratic twists by: -4 |