Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560bd |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-63825408000 = -1 · 212 · 38 · 53 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,360,11988] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-270:1] |
Generators of the group modulo torsion |
j |
1256216039/15582375 |
j-invariant |
L |
4.179577021365 |
L(r)(E,1)/r! |
Ω |
0.81614517334449 |
Real period |
R |
0.21337998219512 |
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 |
285c1 18240bt1 13680bg1 22800ch1 |
Quadratic twists by: -4 8 -3 5 |