Atkin-Lehner |
2- 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47808br |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-8469043776 = -1 · 26 · 313 · 83 |
Discriminant |
Eigenvalues |
2- 3- -3 4 5 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1479,22336] |
[a1,a2,a3,a4,a6] |
Generators |
[68:486:1] |
Generators of the group modulo torsion |
j |
-7668682048/181521 |
j-invariant |
L |
6.2297770986682 |
L(r)(E,1)/r! |
Ω |
1.305355345643 |
Real period |
R |
1.1931190076788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47808cc1 23904l1 15936y1 |
Quadratic twists by: -4 8 -3 |