Atkin-Lehner |
2- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
105400v |
Isogeny class |
Conductor |
105400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22784 |
Modular degree for the optimal curve |
Δ |
-1054000 = -1 · 24 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- -5 -3 3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23,58] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] [-2:10:1] |
Generators of the group modulo torsion |
j |
-702464/527 |
j-invariant |
L |
6.2072021434153 |
L(r)(E,1)/r! |
Ω |
2.5419368509267 |
Real period |
R |
0.61047957811918 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999967426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105400k1 |
Quadratic twists by: 5 |