Atkin-Lehner |
2+ 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
10030b |
Isogeny class |
Conductor |
10030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
698408960000 = 216 · 54 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20622004,36043229106] |
[a1,a2,a3,a4,a6] |
j |
969876155149173502988474809/698408960000 |
j-invariant |
L |
0.78629097833993 |
L(r)(E,1)/r! |
Ω |
0.39314548916997 |
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 |
80240h2 90270bd2 50150bk2 |
Quadratic twists by: -4 -3 5 |