Atkin-Lehner |
2- 7- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
124432s |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-1401602048 = -1 · 214 · 7 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 1 0 7- 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-1804] |
[a1,a2,a3,a4,a6] |
Generators |
[14:32:1] |
Generators of the group modulo torsion |
j |
-15625/342188 |
j-invariant |
L |
7.7914511226704 |
L(r)(E,1)/r! |
Ω |
0.69224003909663 |
Real period |
R |
1.4069272755683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999803713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15554a1 |
Quadratic twists by: -4 |