Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
10956f |
Isogeny class |
Conductor |
10956 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-174989232 = -1 · 24 · 32 · 114 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93,-756] |
[a1,a2,a3,a4,a6] |
Generators |
[23:99:1] |
Generators of the group modulo torsion |
j |
-5619712000/10936827 |
j-invariant |
L |
4.9368272889273 |
L(r)(E,1)/r! |
Ω |
0.72236669036774 |
Real period |
R |
1.1390399905285 |
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 |
43824m1 32868d1 120516f1 |
Quadratic twists by: -4 -3 -11 |