Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
2070f |
Isogeny class |
Conductor |
2070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
312369210000 = 24 · 310 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62100,-5940864] |
[a1,a2,a3,a4,a6] |
Generators |
[363:4206:1] |
Generators of the group modulo torsion |
j |
36330796409313601/428490000 |
j-invariant |
L |
2.1289468443133 |
L(r)(E,1)/r! |
Ω |
0.30243122887635 |
Real period |
R |
3.5197205861034 |
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 |
16560bi2 66240cw2 690k2 10350bj2 |
Quadratic twists by: -4 8 -3 5 |