Atkin-Lehner |
13- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9139c |
Isogeny class |
Conductor |
9139 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
2257333 = 132 · 192 · 37 |
Discriminant |
Eigenvalues |
0 -1 0 -3 -3 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-33,27] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] [-3:9:1] |
Generators of the group modulo torsion |
j |
4096000000/2257333 |
j-invariant |
L |
4.0556662924978 |
L(r)(E,1)/r! |
Ω |
2.2538700144001 |
Real period |
R |
0.44985583314329 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82251g1 118807a1 |
Quadratic twists by: -3 13 |