Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
112632n |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
45179853176016 = 24 · 35 · 13 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7222647,7473648240] |
[a1,a2,a3,a4,a6] |
Generators |
[2967152490617:66764204595:1911240521] |
Generators of the group modulo torsion |
j |
55356847905445888/60021 |
j-invariant |
L |
5.7703947794468 |
L(r)(E,1)/r! |
Ω |
0.40380267247376 |
Real period |
R |
14.290135158533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5928h1 |
Quadratic twists by: -19 |