Atkin-Lehner |
2+ 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
3504b |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16370688 = 210 · 3 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,-224] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
74438500/15987 |
j-invariant |
L |
3.1919173545779 |
L(r)(E,1)/r! |
Ω |
1.5810034874075 |
Real period |
R |
2.0189186045452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1752b2 14016br2 10512b2 87600v2 |
Quadratic twists by: -4 8 -3 5 |