Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160iq |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
68757754669560000 = 26 · 36 · 54 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1282640,558550650] |
[a1,a2,a3,a4,a6] |
j |
1546408574144/455625 |
j-invariant |
L |
4.0742953320556 |
L(r)(E,1)/r! |
Ω |
0.3395246760991 |
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 |
116160gf1 58080bf2 116160io1 |
Quadratic twists by: -4 8 -11 |