Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710cr |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1470883110937500 = 22 · 3 · 58 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-244211,46394085] |
[a1,a2,a3,a4,a6] |
j |
66730743078481/60937500 |
j-invariant |
L |
3.8026235579992 |
L(r)(E,1)/r! |
Ω |
0.4753280080001 |
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 |
390b4 |
Quadratic twists by: 17 |