Atkin-Lehner |
2+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3872c |
Isogeny class |
Conductor |
3872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-79819452416 = -1 · 212 · 117 |
Discriminant |
Eigenvalues |
2+ 1 -3 4 11- 2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,323,-13301] |
[a1,a2,a3,a4,a6] |
j |
512/11 |
j-invariant |
L |
2.1050128573317 |
L(r)(E,1)/r! |
Ω |
0.52625321433293 |
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 |
3872k1 7744i1 34848ch1 96800bu1 |
Quadratic twists by: -4 8 -3 5 |