Atkin-Lehner |
2- 3- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37740f |
Isogeny class |
Conductor |
37740 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-120029819790240000 = -1 · 28 · 38 · 54 · 174 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54116,-17376780] |
[a1,a2,a3,a4,a6] |
j |
-68465035292712784/468866483555625 |
j-invariant |
L |
4.4494272242734 |
L(r)(E,1)/r! |
Ω |
0.1390446007583 |
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 |
113220i2 |
Quadratic twists by: -3 |