Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560ee |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1871708160 = 220 · 3 · 5 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-680,-6732] |
[a1,a2,a3,a4,a6] |
j |
8502154921/456960 |
j-invariant |
L |
3.7517151423357 |
L(r)(E,1)/r! |
Ω |
0.93792878558413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570g1 114240gj1 85680ej1 |
Quadratic twists by: -4 8 -3 |