Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11560k |
Isogeny class |
Conductor |
11560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-258047219257472000 = -1 · 210 · 53 · 1710 |
Discriminant |
Eigenvalues |
2- 1 5- 3 4 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27840,24496400] |
[a1,a2,a3,a4,a6] |
Generators |
[-320:860:1] |
Generators of the group modulo torsion |
j |
-1156/125 |
j-invariant |
L |
6.3777284460278 |
L(r)(E,1)/r! |
Ω |
0.25527797248415 |
Real period |
R |
4.1639109346602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23120k1 92480k1 104040o1 57800c1 |
Quadratic twists by: -4 8 -3 5 |