Atkin-Lehner |
7- 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
89033b |
Isogeny class |
Conductor |
89033 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
154368 |
Modular degree for the optimal curve |
Δ |
-2718918155527 = -1 · 77 · 232 · 792 |
Discriminant |
Eigenvalues |
1 -2 0 7- 0 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29671,1966269] |
[a1,a2,a3,a4,a6] |
Generators |
[662:1919:8] |
Generators of the group modulo torsion |
j |
-24553362849625/23110423 |
j-invariant |
L |
3.188111674154 |
L(r)(E,1)/r! |
Ω |
0.80334564702312 |
Real period |
R |
1.9842714587469 |
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 |
12719b1 |
Quadratic twists by: -7 |