Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1690a |
Isogeny class |
Conductor |
1690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
326292288400 = 24 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14650,-678300] |
[a1,a2,a3,a4,a6] |
Generators |
[-562:455:8] |
Generators of the group modulo torsion |
j |
72043225281/67600 |
j-invariant |
L |
2.0178758590114 |
L(r)(E,1)/r! |
Ω |
0.43397351330129 |
Real period |
R |
4.6497673179665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13520n2 54080bb2 15210bm2 8450m2 |
Quadratic twists by: -4 8 -3 5 |