Atkin-Lehner |
2+ 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
24120m |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-312595200000 = -1 · 211 · 36 · 55 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -1 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13107,-578194] |
[a1,a2,a3,a4,a6] |
j |
-166792350818/209375 |
j-invariant |
L |
2.2308021266518 |
L(r)(E,1)/r! |
Ω |
0.22308021266518 |
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 |
48240v1 2680e1 120600bq1 |
Quadratic twists by: -4 -3 5 |