Atkin-Lehner |
2+ 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31416k |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3947860224 = 28 · 32 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-764,7296] |
[a1,a2,a3,a4,a6] |
j |
192899964112/15421329 |
j-invariant |
L |
2.7222724474559 |
L(r)(E,1)/r! |
Ω |
1.3611362237274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62832b2 94248bb2 |
Quadratic twists by: -4 -3 |