Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13328x |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-6823936 = -1 · 213 · 72 · 17 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 0 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72,244] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:8:1] [3:8:1] |
Generators of the group modulo torsion |
j |
-208537/34 |
j-invariant |
L |
4.2008456525042 |
L(r)(E,1)/r! |
Ω |
2.2807129910423 |
Real period |
R |
0.4604750432215 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1666f1 53312cd1 119952fj1 13328j1 |
Quadratic twists by: -4 8 -3 -7 |