Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230fc |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-295345809830610 = -1 · 2 · 39 · 5 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15223,-405061] |
[a1,a2,a3,a4,a6] |
j |
2496791/1890 |
j-invariant |
L |
5.4982648269996 |
L(r)(E,1)/r! |
Ω |
0.30545915793982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410be1 76230bw1 |
Quadratic twists by: -3 -11 |