Atkin-Lehner |
2+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350bo |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77856768 |
Modular degree for the optimal curve |
Δ |
-3.8539990304466E+24 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 3 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5112233725,-140692464868675] |
[a1,a2,a3,a4,a6] |
j |
-200949790549290210416116825/52413521990961152 |
j-invariant |
L |
0.32138017732455 |
L(r)(E,1)/r! |
Ω |
0.0089272331435646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350ce1 15050n1 |
Quadratic twists by: 5 -7 |