Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9152p |
Isogeny class |
Conductor |
9152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
-20106944 = -1 · 26 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ -3 -1 -4 11- 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,62,106] |
[a1,a2,a3,a4,a6] |
Generators |
[1:13:1] |
Generators of the group modulo torsion |
j |
411830784/314171 |
j-invariant |
L |
1.7042168728738 |
L(r)(E,1)/r! |
Ω |
1.3851435688566 |
Real period |
R |
0.30758848959616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9152g1 4576c1 82368bd1 100672bb1 |
Quadratic twists by: -4 8 -3 -11 |