Atkin-Lehner |
2+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12920g |
Isogeny class |
Conductor |
12920 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
55968 |
Modular degree for the optimal curve |
Δ |
-32300000000000 = -1 · 211 · 511 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3 5- 4 -1 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2947,280286] |
[a1,a2,a3,a4,a6] |
j |
-1382083134642/15771484375 |
j-invariant |
L |
6.1496692213722 |
L(r)(E,1)/r! |
Ω |
0.55906083830656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25840m1 103360n1 116280bk1 64600u1 |
Quadratic twists by: -4 8 -3 5 |