Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950co |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-26202993750000 = -1 · 24 · 310 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5620,-186753] |
[a1,a2,a3,a4,a6] |
j |
1723683599/2300400 |
j-invariant |
L |
5.7053809678115 |
L(r)(E,1)/r! |
Ω |
0.35658631048859 |
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 |
10650c1 6390i1 |
Quadratic twists by: -3 5 |