Atkin-Lehner |
2- 3- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110cn |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
123109984641600 = 26 · 310 · 52 · 114 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15872,-550429] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:171:1] |
Generators of the group modulo torsion |
j |
606548448011449/168875150400 |
j-invariant |
L |
9.6194202547523 |
L(r)(E,1)/r! |
Ω |
0.43429158373799 |
Real period |
R |
1.8458067887549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29370n1 |
Quadratic twists by: -3 |