Atkin-Lehner |
2- 3- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030bi |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1649471850 = 2 · 36 · 52 · 13 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1193,16031] |
[a1,a2,a3,a4,a6] |
j |
257380823881/2262650 |
j-invariant |
L |
3.0103857563074 |
L(r)(E,1)/r! |
Ω |
1.505192877251 |
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 |
7670b2 |
Quadratic twists by: -3 |