Atkin-Lehner |
5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
32825c |
Isogeny class |
Conductor |
32825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-130799931640625 = -1 · 510 · 13 · 1013 |
Discriminant |
Eigenvalues |
1 -1 5+ -2 -4 13- 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9850,405625] |
[a1,a2,a3,a4,a6] |
j |
6763063792031/8371195625 |
j-invariant |
L |
0.78428622939971 |
L(r)(E,1)/r! |
Ω |
0.39214311470184 |
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 |
6565b1 |
Quadratic twists by: 5 |