Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850co |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2217600 |
Modular degree for the optimal curve |
Δ |
-7981651047676847200 = -1 · 25 · 52 · 1113 · 172 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-552428,208221421] |
[a1,a2,a3,a4,a6] |
j |
-420973434058945/180217357408 |
j-invariant |
L |
4.3747229787634 |
L(r)(E,1)/r! |
Ω |
0.2187361839686 |
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 |
102850bp1 9350c1 |
Quadratic twists by: 5 -11 |