Atkin-Lehner |
2+ 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786a |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
671232 |
Modular degree for the optimal curve |
Δ |
-3422021593595904 = -1 · 223 · 33 · 134 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 -3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-106221,13645477] |
[a1,a2,a3,a4,a6] |
j |
-9279781122418011/239587033088 |
j-invariant |
L |
1.7790466783223 |
L(r)(E,1)/r! |
Ω |
0.44476161919934 |
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 |
123786w1 123786c1 |
Quadratic twists by: -3 -23 |