Atkin-Lehner |
2- 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37128bc |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
46696925184 = 211 · 3 · 7 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11744,485856] |
[a1,a2,a3,a4,a6] |
j |
87473975988674/22801233 |
j-invariant |
L |
2.2130646221349 |
L(r)(E,1)/r! |
Ω |
1.1065323110681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74256q4 111384x4 |
Quadratic twists by: -4 -3 |