Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
850b |
Isogeny class |
Conductor |
850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
754299031250 = 2 · 56 · 176 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 6 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2825,-41125] |
[a1,a2,a3,a4,a6] |
j |
159661140625/48275138 |
j-invariant |
L |
2.0105217603181 |
L(r)(E,1)/r! |
Ω |
0.67017392010602 |
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 |
6800t4 27200z4 7650by4 34a4 |
Quadratic twists by: -4 8 -3 5 |