Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31460a |
Isogeny class |
Conductor |
31460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
629200 = 24 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11- 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-601,-5876] |
[a1,a2,a3,a4,a6] |
Generators |
[-924:5:64] |
Generators of the group modulo torsion |
j |
12421218304/325 |
j-invariant |
L |
5.2788318511801 |
L(r)(E,1)/r! |
Ω |
0.96409852154011 |
Real period |
R |
2.7377035298982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840bk1 31460f1 |
Quadratic twists by: -4 -11 |