Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45080y |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2732423437184000 = 210 · 53 · 79 · 232 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -2 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-917296,-337837380] |
[a1,a2,a3,a4,a6] |
j |
2065714832668/66125 |
j-invariant |
L |
1.2341358308084 |
L(r)(E,1)/r! |
Ω |
0.15426697885516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160n2 45080bk2 |
Quadratic twists by: -4 -7 |