Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298bm |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
41763969502992 = 24 · 33 · 119 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8735,47479] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:332:1] |
Generators of the group modulo torsion |
j |
1157625/656 |
j-invariant |
L |
9.0253673948466 |
L(r)(E,1)/r! |
Ω |
0.55363456035801 |
Real period |
R |
4.0755075871866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886713 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89298b1 89298a1 |
Quadratic twists by: -3 -11 |