Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
69360l |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3329280 |
Modular degree for the optimal curve |
Δ |
-5.7654428990669E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 4 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8930196,-10898969904] |
[a1,a2,a3,a4,a6] |
j |
-44103737752144/3228504075 |
j-invariant |
L |
0.52180803685389 |
L(r)(E,1)/r! |
Ω |
0.043484003109719 |
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 |
34680u1 69360bk1 |
Quadratic twists by: -4 17 |