Atkin-Lehner |
2+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
8722f |
Isogeny class |
Conductor |
8722 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-34888 = -1 · 23 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -3 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22075,1253253] |
[a1,a2,a3,a4,a6] |
j |
-24280661166015625/712 |
j-invariant |
L |
1.9424268536588 |
L(r)(E,1)/r! |
Ω |
1.9424268536588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69776u2 78498bw2 8722b2 |
Quadratic twists by: -4 -3 -7 |