Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81928m |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
18889190725328 = 24 · 77 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7154,102557] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1245:1] |
Generators of the group modulo torsion |
j |
21511084032/10034717 |
j-invariant |
L |
5.8223484872805 |
L(r)(E,1)/r! |
Ω |
0.61449048046131 |
Real period |
R |
4.7375416461994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11704e1 |
Quadratic twists by: -7 |