Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960cy |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-325017600 = -1 · 213 · 3 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-360,-2892] |
[a1,a2,a3,a4,a6] |
Generators |
[538:4245:8] |
Generators of the group modulo torsion |
j |
-2387929/150 |
j-invariant |
L |
10.801536862241 |
L(r)(E,1)/r! |
Ω |
0.54590624530187 |
Real period |
R |
4.9466079815649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870e1 126960cl1 |
Quadratic twists by: -4 -23 |