Atkin-Lehner |
13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
11323d |
Isogeny class |
Conductor |
11323 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20280 |
Modular degree for the optimal curve |
Δ |
-3661815206569 = -1 · 138 · 672 |
Discriminant |
Eigenvalues |
-1 2 -1 2 -6 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3799,20392] |
[a1,a2,a3,a4,a6] |
j |
7433231/4489 |
j-invariant |
L |
0.96746588256623 |
L(r)(E,1)/r! |
Ω |
0.48373294128312 |
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 |
101907h1 11323a1 |
Quadratic twists by: -3 13 |