Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218bx |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-3390576362650533888 = -1 · 216 · 37 · 138 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,336109,47068467] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:4434:1] |
Generators of the group modulo torsion |
j |
1193377118543/963575808 |
j-invariant |
L |
7.2382445444022 |
L(r)(E,1)/r! |
Ω |
0.16176792618895 |
Real period |
R |
1.3982694046819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29406f1 6786e1 |
Quadratic twists by: -3 13 |