Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312w |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1584000 |
Modular degree for the optimal curve |
Δ |
-6026300401798752768 = -1 · 29 · 33 · 75 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-941904,-371458980] |
[a1,a2,a3,a4,a6] |
j |
-6959007176/453789 |
j-invariant |
L |
1.1450541751755 |
L(r)(E,1)/r! |
Ω |
0.076336940779877 |
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 |
81312bb1 81312bm1 |
Quadratic twists by: -4 -11 |