Atkin-Lehner |
2+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
118336r |
Isogeny class |
Conductor |
118336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
121176064 = 216 · 432 |
Discriminant |
Eigenvalues |
2+ -3 1 -1 -4 -5 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172,688] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:32:1] [-2:32:1] |
Generators of the group modulo torsion |
j |
4644 |
j-invariant |
L |
6.9310344278288 |
L(r)(E,1)/r! |
Ω |
1.7585190390534 |
Real period |
R |
0.98535106411079 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118336bm1 14792d1 118336i1 |
Quadratic twists by: -4 8 -43 |