Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298r |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-8804662102468590336 = -1 · 28 · 316 · 117 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 11- 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-521109,203466357] |
[a1,a2,a3,a4,a6] |
Generators |
[-822:9123:1] |
Generators of the group modulo torsion |
j |
-12117869279209/6817561344 |
j-invariant |
L |
3.9321496648327 |
L(r)(E,1)/r! |
Ω |
0.21502694662916 |
Real period |
R |
2.2858470371712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766bs1 8118l1 |
Quadratic twists by: -3 -11 |