Atkin-Lehner |
2+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850by |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-69938000000000 = -1 · 210 · 59 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3 5- 1 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25867,1657541] |
[a1,a2,a3,a4,a6] |
j |
-8099457597/295936 |
j-invariant |
L |
4.8994803451819 |
L(r)(E,1)/r! |
Ω |
0.61243501799102 |
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 |
102850dk1 102850dh1 |
Quadratic twists by: 5 -11 |