Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520dd |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
12713013504000000 = 214 · 310 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-174972,27643664] |
[a1,a2,a3,a4,a6] |
j |
49600026959056/1064390625 |
j-invariant |
L |
4.7912976920264 |
L(r)(E,1)/r! |
Ω |
0.39927481195821 |
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 |
83520gq2 10440s2 27840h2 |
Quadratic twists by: -4 8 -3 |