Atkin-Lehner |
2- 3+ 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782u |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-9182448 = -1 · 24 · 32 · 112 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33,-177] |
[a1,a2,a3,a4,a6] |
Generators |
[9:14:1] |
Generators of the group modulo torsion |
j |
-3981876625/9182448 |
j-invariant |
L |
7.7422079146102 |
L(r)(E,1)/r! |
Ω |
0.9305483647861 |
Real period |
R |
2.080012229238 |
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 |
104346k1 |
Quadratic twists by: -3 |