Atkin-Lehner |
2- 5+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116560i |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-7180543590400 = -1 · 222 · 52 · 31 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 6 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7763,293138] |
[a1,a2,a3,a4,a6] |
j |
-12631430086569/1753062400 |
j-invariant |
L |
2.8847297441292 |
L(r)(E,1)/r! |
Ω |
0.72118242946175 |
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 |
14570b1 |
Quadratic twists by: -4 |