Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944bx |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-3669918435008 = -1 · 26 · 711 · 29 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- -2 4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3855,1891] |
[a1,a2,a3,a4,a6] |
Generators |
[30:379:1] |
Generators of the group modulo torsion |
j |
841232384/487403 |
j-invariant |
L |
4.1375264957858 |
L(r)(E,1)/r! |
Ω |
0.47270988747614 |
Real period |
R |
4.3763909071171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999740812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944dv1 1421e1 12992r1 |
Quadratic twists by: -4 8 -7 |