Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850ck |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-1329338610195750000 = -1 · 24 · 32 · 56 · 79 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-118851,-57680402] |
[a1,a2,a3,a4,a6] |
j |
-100999381393/723148272 |
j-invariant |
L |
1.8231905438102 |
L(r)(E,1)/r! |
Ω |
0.11394941337255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3234r1 11550i1 |
Quadratic twists by: 5 -7 |