Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408dd |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-21129024503808 = -1 · 226 · 34 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1953,-224289] |
[a1,a2,a3,a4,a6] |
j |
-3144219625/80600832 |
j-invariant |
L |
2.3614833353761 |
L(r)(E,1)/r! |
Ω |
0.29518541698905 |
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 |
57408c1 14352r1 |
Quadratic twists by: -4 8 |