Atkin-Lehner |
2- 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12006n |
Isogeny class |
Conductor |
12006 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-12529018059556608 = -1 · 28 · 314 · 233 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 -6 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-110471,-15096193] |
[a1,a2,a3,a4,a6] |
j |
-204520739414888233/17186581700352 |
j-invariant |
L |
2.0849518346837 |
L(r)(E,1)/r! |
Ω |
0.13030948966773 |
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 |
96048br1 4002f1 |
Quadratic twists by: -4 -3 |