Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bb |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
268919218263168000 = 210 · 34 · 53 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1653021,-817091955] |
[a1,a2,a3,a4,a6] |
j |
275361373935616/148240125 |
j-invariant |
L |
0.53260250445426 |
L(r)(E,1)/r! |
Ω |
0.13315085911246 |
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 |
116160id1 14520y1 10560d1 |
Quadratic twists by: -4 8 -11 |