Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054bf |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-7351643182464 = -1 · 27 · 35 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 0 5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1569,-133281] |
[a1,a2,a3,a4,a6] |
j |
-3630961153/62487936 |
j-invariant |
L |
4.4754995847132 |
L(r)(E,1)/r! |
Ω |
0.31967854176523 |
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 |
96432db1 36162u1 1722n1 |
Quadratic twists by: -4 -3 -7 |