Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800cu |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
24897088000000000 = 215 · 59 · 733 |
Discriminant |
Eigenvalues |
2- -3 5- 3 3 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95500,-8450000] |
[a1,a2,a3,a4,a6] |
Generators |
[350:1000:1] |
Generators of the group modulo torsion |
j |
1505060136/389017 |
j-invariant |
L |
5.0390026484179 |
L(r)(E,1)/r! |
Ω |
0.2767737083501 |
Real period |
R |
2.275777297197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000144919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800ct1 58400d1 116800dd1 |
Quadratic twists by: -4 8 5 |