Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600io |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
110160000000 = 210 · 34 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2533,45563] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:27:1] [-37:300:1] |
Generators of the group modulo torsion |
j |
112377856/6885 |
j-invariant |
L |
12.677688312167 |
L(r)(E,1)/r! |
Ω |
1.0377969728565 |
Real period |
R |
1.5269952413538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600w1 20400cc1 16320bo1 |
Quadratic twists by: -4 8 5 |