Atkin-Lehner |
2- 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
36312j |
Isogeny class |
Conductor |
36312 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
199056535734528 = 28 · 36 · 17 · 894 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14692,-100192] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:66:1] |
Generators of the group modulo torsion |
j |
1370111985352528/777564592713 |
j-invariant |
L |
9.3223665960743 |
L(r)(E,1)/r! |
Ω |
0.46817067317626 |
Real period |
R |
3.3187208320232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72624e1 108936d1 |
Quadratic twists by: -4 -3 |