Atkin-Lehner |
2+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
4270d |
Isogeny class |
Conductor |
4270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3559062080 = 26 · 5 · 72 · 613 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23663,-1402974] |
[a1,a2,a3,a4,a6] |
j |
1465233164840327401/3559062080 |
j-invariant |
L |
1.1547969292246 |
L(r)(E,1)/r! |
Ω |
0.38493230974152 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34160bb3 38430bl3 21350s3 29890e3 |
Quadratic twists by: -4 -3 5 -7 |