Atkin-Lehner |
2+ 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816b |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1207153361323008 = 210 · 36 · 11 · 435 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 11+ 0 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28113,714681] |
[a1,a2,a3,a4,a6] |
Generators |
[240:2781:1] |
Generators of the group modulo torsion |
j |
2399721162016000/1178860704417 |
j-invariant |
L |
3.4888755400661 |
L(r)(E,1)/r! |
Ω |
0.43160769980539 |
Real period |
R |
4.0417206859323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816cq1 11352p1 |
Quadratic twists by: -4 8 |