Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21780w |
Isogeny class |
Conductor |
21780 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-8438451709446000 = -1 · 24 · 39 · 53 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115797,-15797639] |
[a1,a2,a3,a4,a6] |
Generators |
[752:17955:1] |
Generators of the group modulo torsion |
j |
-68679424/3375 |
j-invariant |
L |
5.9784406382791 |
L(r)(E,1)/r! |
Ω |
0.1290335927729 |
Real period |
R |
3.8610363070343 |
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 |
87120gc1 7260m1 108900ch1 21780z1 |
Quadratic twists by: -4 -3 5 -11 |