Atkin-Lehner |
2- 3- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
59148f |
Isogeny class |
Conductor |
59148 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-7158896457265804032 = -1 · 28 · 38 · 315 · 533 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,376080,-93227276] |
[a1,a2,a3,a4,a6] |
j |
31520778346496000/38359999020843 |
j-invariant |
L |
1.5166555029186 |
L(r)(E,1)/r! |
Ω |
0.12638795858985 |
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 |
19716d1 |
Quadratic twists by: -3 |