Atkin-Lehner |
2- 3- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20646q |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-89583159168 = -1 · 27 · 39 · 312 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 1 5 1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1490,-26031] |
[a1,a2,a3,a4,a6] |
Generators |
[77:519:1] |
Generators of the group modulo torsion |
j |
-501512433625/122884992 |
j-invariant |
L |
8.478017357309 |
L(r)(E,1)/r! |
Ω |
0.37933197566708 |
Real period |
R |
0.79820936175268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6882a1 |
Quadratic twists by: -3 |