Atkin-Lehner |
2- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
49840k |
Isogeny class |
Conductor |
49840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10656 |
Modular degree for the optimal curve |
Δ |
-2442160 = -1 · 24 · 5 · 73 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -3 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-141,-604] |
[a1,a2,a3,a4,a6] |
j |
-19513606144/152635 |
j-invariant |
L |
0.69199919227107 |
L(r)(E,1)/r! |
Ω |
0.69199919265711 |
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 |
12460b1 |
Quadratic twists by: -4 |