Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800s |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
28836000000 = 28 · 34 · 56 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60108,-5692212] |
[a1,a2,a3,a4,a6] |
Generators |
[1083:34650:1] |
Generators of the group modulo torsion |
j |
6004374601552/7209 |
j-invariant |
L |
10.738909477981 |
L(r)(E,1)/r! |
Ω |
0.30490596057636 |
Real period |
R |
4.4025498166465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53400e1 4272a1 |
Quadratic twists by: -4 5 |