Atkin-Lehner |
2- 3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12834m |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-580071132 = -1 · 22 · 38 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 4 2 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-554,5285] |
[a1,a2,a3,a4,a6] |
j |
-25750777177/795708 |
j-invariant |
L |
6.5089571707242 |
L(r)(E,1)/r! |
Ω |
1.6272392926811 |
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 |
102672by1 4278i1 |
Quadratic twists by: -4 -3 |