Atkin-Lehner |
2- 47- |
Signs for the Atkin-Lehner involutions |
Class |
35344a |
Isogeny class |
Conductor |
35344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-8300513205665792 = -1 · 214 · 477 |
Discriminant |
Eigenvalues |
2- 0 0 0 2 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11045,-4360566] |
[a1,a2,a3,a4,a6] |
Generators |
[24331125205:-6084986364624:389017] |
Generators of the group modulo torsion |
j |
3375/188 |
j-invariant |
L |
5.5582623348052 |
L(r)(E,1)/r! |
Ω |
0.1979000672688 |
Real period |
R |
14.043103702577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4418a1 752a1 |
Quadratic twists by: -4 -47 |