Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984dn |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2830464 |
Modular degree for the optimal curve |
Δ |
-5.3916218787593E+22 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 3 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3456640,10895525556] |
[a1,a2,a3,a4,a6] |
Generators |
[-1046:78336:1] |
Generators of the group modulo torsion |
j |
3947714094191/46599266304 |
j-invariant |
L |
8.2493103588691 |
L(r)(E,1)/r! |
Ω |
0.082666315352587 |
Real period |
R |
1.3859787326388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998bf1 119952ew1 39984be1 |
Quadratic twists by: -4 -3 -7 |