Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560bd |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
372736 |
Modular degree for the optimal curve |
Δ |
-621457920000000 = -1 · 215 · 38 · 57 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -1 -6 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30828,-2403952] |
[a1,a2,a3,a4,a6] |
j |
-135638288072/26015625 |
j-invariant |
L |
0.71319924685625 |
L(r)(E,1)/r! |
Ω |
0.17829977215883 |
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 |
106560bc1 53280t1 35520k1 |
Quadratic twists by: -4 8 -3 |