Atkin-Lehner |
7- 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
89033b |
Isogeny class |
Conductor |
89033 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10474643417 = 78 · 23 · 79 |
Discriminant |
Eigenvalues |
1 -2 0 7- 0 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-474836,125900205] |
[a1,a2,a3,a4,a6] |
Generators |
[3190:-1325:8] |
Generators of the group modulo torsion |
j |
100638712207923625/89033 |
j-invariant |
L |
3.188111674154 |
L(r)(E,1)/r! |
Ω |
0.80334564702312 |
Real period |
R |
3.9685429174938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12719b2 |
Quadratic twists by: -7 |