Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bf |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
142391591829504 = 222 · 37 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138171,-19760150] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:90:1] |
Generators of the group modulo torsion |
j |
97698284547193/47686656 |
j-invariant |
L |
5.6397758848638 |
L(r)(E,1)/r! |
Ω |
0.24763273381173 |
Real period |
R |
2.8468448928378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14706w1 39216w1 |
Quadratic twists by: -4 -3 |