Atkin-Lehner |
2- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638t |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
49545216 |
Modular degree for the optimal curve |
Δ |
-3.9371930477668E+27 |
Discriminant |
Eigenvalues |
2- -1 1 7- 6 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,136915995,2955328936363] |
[a1,a2,a3,a4,a6] |
j |
2412670602279699472116671/33465588723804142567424 |
j-invariant |
L |
4.1781775251567 |
L(r)(E,1)/r! |
Ω |
0.032642011710122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234j1 |
Quadratic twists by: -7 |