Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90576bf |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
4554280509898752 = 228 · 36 · 17 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57531,-4203286] |
[a1,a2,a3,a4,a6] |
Generators |
[2095:95238:1] |
Generators of the group modulo torsion |
j |
7052482298233/1525219328 |
j-invariant |
L |
5.1478588361711 |
L(r)(E,1)/r! |
Ω |
0.31299911307403 |
Real period |
R |
4.111719990013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11322r1 10064d1 |
Quadratic twists by: -4 -3 |