Atkin-Lehner |
2- 5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
90100b |
Isogeny class |
Conductor |
90100 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
3604000000 = 28 · 56 · 17 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 2 -1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-533,3937] |
[a1,a2,a3,a4,a6] |
Generators |
[8:11:1] |
Generators of the group modulo torsion |
j |
4194304/901 |
j-invariant |
L |
3.8833911654117 |
L(r)(E,1)/r! |
Ω |
1.3256085637393 |
Real period |
R |
2.9295157491728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3604a1 |
Quadratic twists by: 5 |