Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17136bm |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
9949298688 = 214 · 36 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2595,-50654] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:14:1] |
Generators of the group modulo torsion |
j |
647214625/3332 |
j-invariant |
L |
4.9592229442322 |
L(r)(E,1)/r! |
Ω |
0.66911351797608 |
Real period |
R |
1.8529079188359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2142e1 68544ep1 1904e1 119952el1 |
Quadratic twists by: -4 8 -3 -7 |