Atkin-Lehner |
2+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
110600f |
Isogeny class |
Conductor |
110600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
11060000000 = 28 · 57 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 1 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1700,26500] |
[a1,a2,a3,a4,a6] |
Generators |
[30:50:1] |
Generators of the group modulo torsion |
j |
135834624/2765 |
j-invariant |
L |
6.6491094516896 |
L(r)(E,1)/r! |
Ω |
1.2780204304945 |
Real period |
R |
0.32516642832235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22120c1 |
Quadratic twists by: 5 |