Atkin-Lehner |
2- 3- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
20646r |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1670653674 = -1 · 2 · 39 · 31 · 372 |
Discriminant |
Eigenvalues |
2- 3- 3 4 -3 -3 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,139,-1897] |
[a1,a2,a3,a4,a6] |
j |
410172407/2291706 |
j-invariant |
L |
6.0017330916971 |
L(r)(E,1)/r! |
Ω |
0.75021663646214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6882d1 |
Quadratic twists by: -3 |