Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230bs |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-12657473917814880 = -1 · 25 · 38 · 5 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45171,3944133] |
[a1,a2,a3,a4,a6] |
j |
954990717791/1185901920 |
j-invariant |
L |
1.6077579054292 |
L(r)(E,1)/r! |
Ω |
0.2679596492566 |
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 |
25410ck1 76230ey1 |
Quadratic twists by: -3 -11 |