Atkin-Lehner |
2- 7- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
89474n |
Isogeny class |
Conductor |
89474 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
337060140474437072 = 24 · 79 · 11 · 834 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-272735,-47195639] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:2889:1] |
Generators of the group modulo torsion |
j |
55598628003463/8352664496 |
j-invariant |
L |
4.0342451749259 |
L(r)(E,1)/r! |
Ω |
0.21101611629826 |
Real period |
R |
2.3897731315801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89474k2 |
Quadratic twists by: -7 |