Atkin-Lehner |
2- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39688f |
Isogeny class |
Conductor |
39688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-2994631294733056 = -1 · 28 · 1111 · 41 |
Discriminant |
Eigenvalues |
2- 0 1 3 11- 2 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5687,2638042] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:726:1] |
Generators of the group modulo torsion |
j |
-44851536/6603091 |
j-invariant |
L |
6.6557554925169 |
L(r)(E,1)/r! |
Ω |
0.36890019329653 |
Real period |
R |
2.255269722496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79376e1 3608c1 |
Quadratic twists by: -4 -11 |