Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fi |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
77078200320 = 219 · 35 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1921,-28895] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:53:1] |
Generators of the group modulo torsion |
j |
24729001/2430 |
j-invariant |
L |
4.9522407314604 |
L(r)(E,1)/r! |
Ω |
0.72566384316056 |
Real period |
R |
3.4122140821895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999239211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160da1 29040dj1 116160fg1 |
Quadratic twists by: -4 8 -11 |