Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408y |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-1320564031488 = -1 · 222 · 34 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9953,-389505] |
[a1,a2,a3,a4,a6] |
j |
-415996269625/5037552 |
j-invariant |
L |
1.9105317164021 |
L(r)(E,1)/r! |
Ω |
0.23881646468131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408cf1 1794a1 |
Quadratic twists by: -4 8 |