Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600cr |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
138018816000000000 = 226 · 34 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 6 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129208,245588] |
[a1,a2,a3,a4,a6] |
j |
29819839301/17252352 |
j-invariant |
L |
2.2175404787606 |
L(r)(E,1)/r! |
Ω |
0.27719255984507 |
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 |
1950d1 62400ga1 46800fb1 15600by1 |
Quadratic twists by: -4 8 -3 5 |