Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12054bh |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-624923796655570944 = -1 · 219 · 3 · 78 · 413 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 3 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-265826,-65056188] |
[a1,a2,a3,a4,a6] |
j |
-17657448289261201/5311764627456 |
j-invariant |
L |
3.9340203278952 |
L(r)(E,1)/r! |
Ω |
0.10352685073408 |
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 |
96432ba1 36162bd1 1722k1 |
Quadratic twists by: -4 -3 -7 |