Atkin-Lehner |
3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
645a |
Isogeny class |
Conductor |
645 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
51282015 = 3 · 5 · 434 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-118,-407] |
[a1,a2,a3,a4,a6] |
j |
184122897769/51282015 |
j-invariant |
L |
1.4773816654528 |
L(r)(E,1)/r! |
Ω |
1.4773816654528 |
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 |
10320bb4 41280bk3 1935k4 3225e3 |
Quadratic twists by: -4 8 -3 5 |