Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ji |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
88898915128320 = 210 · 34 · 5 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63565,6130595] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:2904:1] |
Generators of the group modulo torsion |
j |
15657723904/49005 |
j-invariant |
L |
7.8023678449719 |
L(r)(E,1)/r! |
Ω |
0.60652541363641 |
Real period |
R |
1.6080051367957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989436 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160cb1 29040h1 10560ci1 |
Quadratic twists by: -4 8 -11 |