Atkin-Lehner |
2- 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126852i |
Isogeny class |
Conductor |
126852 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-1109701296 = -1 · 24 · 38 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,83,1604] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:27:1] [-5:33:1] |
Generators of the group modulo torsion |
j |
4063232/72171 |
j-invariant |
L |
11.040497845005 |
L(r)(E,1)/r! |
Ω |
1.1536655945669 |
Real period |
R |
0.39874704213767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126852d1 |
Quadratic twists by: -31 |