Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992du |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-360351936 = -1 · 26 · 33 · 7 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -4 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54,926] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:31:1] |
Generators of the group modulo torsion |
j |
-10077696/208537 |
j-invariant |
L |
4.7697177868573 |
L(r)(E,1)/r! |
Ω |
1.4292160419182 |
Real period |
R |
0.5562161049101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998058435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992ea1 62496z1 124992dr1 |
Quadratic twists by: -4 8 -3 |