Atkin-Lehner |
2- 3- 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682cc |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-6946636879286676 = -1 · 22 · 324 · 11 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-71429,-8352943] |
[a1,a2,a3,a4,a6] |
Generators |
[327:1618:1] [56628:1565977:64] |
Generators of the group modulo torsion |
j |
-55285875823783177/9528994347444 |
j-invariant |
L |
14.547327223999 |
L(r)(E,1)/r! |
Ω |
0.14465474411342 |
Real period |
R |
12.570731182231 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894p1 |
Quadratic twists by: -3 |