Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160hd |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-32270306191580160 = -1 · 210 · 35 · 5 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 2 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-370905,87496785] |
[a1,a2,a3,a4,a6] |
j |
-212464384/1215 |
j-invariant |
L |
3.3451991972007 |
L(r)(E,1)/r! |
Ω |
0.37168876703215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160ew1 29040de1 116160he1 |
Quadratic twists by: -4 8 -11 |