Atkin-Lehner |
2- 11- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94622j |
Isogeny class |
Conductor |
94622 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-2515809736 = -1 · 23 · 112 · 173 · 232 |
Discriminant |
Eigenvalues |
2- -2 -3 1 11- -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6707,-211991] |
[a1,a2,a3,a4,a6] |
Generators |
[112:611:1] |
Generators of the group modulo torsion |
j |
-275757483948793/20791816 |
j-invariant |
L |
4.8134317656967 |
L(r)(E,1)/r! |
Ω |
0.26377594071342 |
Real period |
R |
3.041363921357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999776663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94622h1 |
Quadratic twists by: -11 |