Atkin-Lehner |
2+ 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970ba |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-7819811978880 = -1 · 27 · 3 · 5 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11619,499486] |
[a1,a2,a3,a4,a6] |
j |
-809160649/36480 |
j-invariant |
L |
0.73283480952961 |
L(r)(E,1)/r! |
Ω |
0.73283481484441 |
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 |
68970ci1 |
Quadratic twists by: -11 |