Atkin-Lehner |
2+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59534a |
Isogeny class |
Conductor |
59534 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
208488068 = 22 · 173 · 1032 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-326,2240] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:60:1] |
Generators of the group modulo torsion |
j |
781229961/42436 |
j-invariant |
L |
3.6799967068145 |
L(r)(E,1)/r! |
Ω |
1.7542945605196 |
Real period |
R |
1.0488537072358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59534b2 |
Quadratic twists by: 17 |