Atkin-Lehner |
2+ 3+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730d |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
333462150 = 2 · 33 · 52 · 72 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1590,-23994] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:15:1] |
Generators of the group modulo torsion |
j |
16470430613307/12350450 |
j-invariant |
L |
3.4001970792839 |
L(r)(E,1)/r! |
Ω |
0.75606131905643 |
Real period |
R |
1.1243126032162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44730bd2 |
Quadratic twists by: -3 |