Atkin-Lehner |
3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
92781m |
Isogeny class |
Conductor |
92781 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
38197290092052897 = 310 · 139 · 61 |
Discriminant |
Eigenvalues |
1 3- 0 0 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84447,-872312] |
[a1,a2,a3,a4,a6] |
j |
8615125/4941 |
j-invariant |
L |
2.4317559244967 |
L(r)(E,1)/r! |
Ω |
0.30396949885039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30927b1 92781n1 |
Quadratic twists by: -3 13 |