Atkin-Lehner |
2- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18130m |
Isogeny class |
Conductor |
18130 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
2228742656000 = 212 · 53 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3676,45373] |
[a1,a2,a3,a4,a6] |
j |
46694890801/18944000 |
j-invariant |
L |
4.4706942953388 |
L(r)(E,1)/r! |
Ω |
0.74511571588981 |
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 |
90650j1 370d1 |
Quadratic twists by: 5 -7 |