Atkin-Lehner |
2+ 3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bh |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.791336156809E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,51153211,-628351927888] |
[a1,a2,a3,a4,a6] |
j |
14802750729576629005731104951/179133615680899546821000000 |
j-invariant |
L |
2.015834159567 |
L(r)(E,1)/r! |
Ω |
0.027997696661274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810el7 |
Quadratic twists by: -3 |