Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13328q |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-229379784704 = -1 · 214 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 0 2 7- 2 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1421,10290] |
[a1,a2,a3,a4,a6] |
j |
658503/476 |
j-invariant |
L |
2.5253656126008 |
L(r)(E,1)/r! |
Ω |
0.63134140315021 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1666d1 53312bx1 119952fg1 1904d1 |
Quadratic twists by: -4 8 -3 -7 |