Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64980bc |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
56457439603413840 = 24 · 37 · 5 · 199 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-329232,-71806871] |
[a1,a2,a3,a4,a6] |
j |
1048576/15 |
j-invariant |
L |
2.3937647726194 |
L(r)(E,1)/r! |
Ω |
0.19948039735409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21660t1 64980bb1 |
Quadratic twists by: -3 -19 |