Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944dv |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
4 |
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 |
[170:-2401:8] [73852:20069959:1] |
Generators of the group modulo torsion |
j |
841232384/487403 |
j-invariant |
L |
10.641009161609 |
L(r)(E,1)/r! |
Ω |
0.46843107374273 |
Real period |
R |
5.6790687887414 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944bx1 22736z1 12992bb1 |
Quadratic twists by: -4 8 -7 |