Atkin-Lehner |
2+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18130l |
Isogeny class |
Conductor |
18130 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-4353013000000000 = -1 · 29 · 59 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 3 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8158,3165044] |
[a1,a2,a3,a4,a6] |
j |
510273943271/37000000000 |
j-invariant |
L |
3.0021456827369 |
L(r)(E,1)/r! |
Ω |
0.33357174252632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650ci3 370c2 |
Quadratic twists by: 5 -7 |