Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
69776u |
Isogeny class |
Conductor |
69776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-142901248 = -1 · 215 · 72 · 89 |
Discriminant |
Eigenvalues |
2- -2 0 7- 3 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353208,-80914604] |
[a1,a2,a3,a4,a6] |
Generators |
[239350:117098064:1] |
Generators of the group modulo torsion |
j |
-24280661166015625/712 |
j-invariant |
L |
4.1050923922383 |
L(r)(E,1)/r! |
Ω |
0.097917839770374 |
Real period |
R |
10.480961390632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8722f2 69776f2 |
Quadratic twists by: -4 -7 |