Atkin-Lehner |
2+ 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710j |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
244754949660000 = 25 · 3 · 54 · 132 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25006742,48121568244] |
[a1,a2,a3,a4,a6] |
j |
71647584155243142409/10140000 |
j-invariant |
L |
1.2716156531537 |
L(r)(E,1)/r! |
Ω |
0.31790397115604 |
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 |
390g4 |
Quadratic twists by: 17 |