Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126852c |
Isogeny class |
Conductor |
126852 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
82473942067968 = 28 · 3 · 112 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11852,240072] |
[a1,a2,a3,a4,a6] |
Generators |
[239025:3894066:15625] |
Generators of the group modulo torsion |
j |
810448/363 |
j-invariant |
L |
5.4077193237308 |
L(r)(E,1)/r! |
Ω |
0.54604315604862 |
Real period |
R |
9.9034651052376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999664359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
132a2 |
Quadratic twists by: -31 |