Atkin-Lehner |
2+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
712a |
Isogeny class |
Conductor |
712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
16222208 = 211 · 892 |
Discriminant |
Eigenvalues |
2+ -2 2 -4 0 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72,112] |
[a1,a2,a3,a4,a6] |
j |
20436626/7921 |
j-invariant |
L |
1.0025412122671 |
L(r)(E,1)/r! |
Ω |
2.0050824245341 |
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 |
1424a2 5696f2 6408c2 17800m2 |
Quadratic twists by: -4 8 -3 5 |