Atkin-Lehner |
2- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26b |
Isogeny class |
Conductor |
26 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
2 |
Modular degree for the optimal curve |
Δ |
-1664 = -1 · 27 · 13 |
Discriminant |
Eigenvalues |
2- -3 -1 1 -2 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3,3] |
[a1,a2,a3,a4,a6] |
j |
-2146689/1664 |
j-invariant |
L |
0.62096534954906 |
L(r)(E,1)/r! |
Ω |
4.3467574468434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
7 |
Number of elements in the torsion subgroup |
Twists |
208d1 832f1 234a1 650f1 |
Quadratic twists by: -4 8 -3 5 |