Atkin-Lehner |
3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84825t |
Isogeny class |
Conductor |
84825 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-554041105175390625 = -1 · 310 · 58 · 134 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 6 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17667,35827866] |
[a1,a2,a3,a4,a6] |
j |
-53540005609/48640097025 |
j-invariant |
L |
3.768917001977 |
L(r)(E,1)/r! |
Ω |
0.23555731269584 |
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 |
28275j2 16965q2 |
Quadratic twists by: -3 5 |