Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6450t |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1401922085062500000 = 25 · 38 · 59 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-611338,-175192969] |
[a1,a2,a3,a4,a6] |
j |
1617141066657115609/89723013444000 |
j-invariant |
L |
3.426561880124 |
L(r)(E,1)/r! |
Ω |
0.1713280940062 |
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 |
51600db3 19350k4 1290e3 |
Quadratic twists by: -4 -3 5 |