Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350ch |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
8355840 |
Modular degree for the optimal curve |
Δ |
-1.7413130229555E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 5 2 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27641538,-55951121969] |
[a1,a2,a3,a4,a6] |
Generators |
[29945:5081027:1] |
Generators of the group modulo torsion |
j |
-1270580128269753673/94725865472 |
j-invariant |
L |
8.9416110030185 |
L(r)(E,1)/r! |
Ω |
0.032921306747688 |
Real period |
R |
3.9941998895665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999756759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4214b1 15050t1 |
Quadratic twists by: 5 -7 |