Atkin-Lehner |
2- 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560bm |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-1428793344000 = -1 · 214 · 37 · 53 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18040,-928400] |
[a1,a2,a3,a4,a6] |
j |
-158524881613561/348826500 |
j-invariant |
L |
1.2356697282423 |
L(r)(E,1)/r! |
Ω |
0.20594495643085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570o1 |
Quadratic twists by: -4 |