Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410cl |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
99793073091317760 = 212 · 36 · 5 · 73 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34670556,-78578780400] |
[a1,a2,a3,a4,a6] |
j |
2601656892010848045529/56330588160 |
j-invariant |
L |
4.4796269630975 |
L(r)(E,1)/r! |
Ω |
0.06221704115413 |
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 |
76230bu1 127050be1 2310g1 |
Quadratic twists by: -3 5 -11 |