Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138bd |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-829105715474257536 = -1 · 27 · 33 · 7 · 1711 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -1 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-636962,-200564796] |
[a1,a2,a3,a4,a6] |
j |
-1184052061112257/34349180544 |
j-invariant |
L |
3.5428115013263 |
L(r)(E,1)/r! |
Ω |
0.084352654793483 |
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 |
97104bq1 36414bj1 84966dc1 714e1 |
Quadratic twists by: -4 -3 -7 17 |