Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520cs |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
83316005299814400 = 226 · 310 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-802092,276144176] |
[a1,a2,a3,a4,a6] |
j |
298626824461321/435974400 |
j-invariant |
L |
1.3646862500822 |
L(r)(E,1)/r! |
Ω |
0.34117156651727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83520gd2 2610j2 27840b2 |
Quadratic twists by: -4 8 -3 |