Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570f |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-283390146040625000 = -1 · 23 · 58 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 6 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,96327,-22905919] |
[a1,a2,a3,a4,a6] |
j |
4095232047999/11740625000 |
j-invariant |
L |
3.7996030179871 |
L(r)(E,1)/r! |
Ω |
0.1583167924169 |
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 |
2210e2 |
Quadratic twists by: 17 |