Atkin-Lehner |
2+ 3- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
89082m |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-220129949229644664 = -1 · 23 · 39 · 712 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-265050,-57101108] |
[a1,a2,a3,a4,a6] |
Generators |
[1439:49676:1] |
Generators of the group modulo torsion |
j |
-24010007244049/2566630584 |
j-invariant |
L |
4.634439843447 |
L(r)(E,1)/r! |
Ω |
0.10457391486076 |
Real period |
R |
5.539670017127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29694j1 12726d1 |
Quadratic twists by: -3 -7 |