Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968ex |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
474211584 = 28 · 37 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- 2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,1276] |
[a1,a2,a3,a4,a6] |
Generators |
[14:18:1] [-10:54:1] |
Generators of the group modulo torsion |
j |
90112/21 |
j-invariant |
L |
10.081948474599 |
L(r)(E,1)/r! |
Ω |
1.5635346573013 |
Real period |
R |
0.80602214548824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30492bl1 40656cp1 121968gk1 |
Quadratic twists by: -4 -3 -11 |