Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880z |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-1771524587520 = -1 · 219 · 38 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -5 3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2815,-27297] |
[a1,a2,a3,a4,a6] |
Generators |
[13:108:1] |
Generators of the group modulo torsion |
j |
9407293631/6757830 |
j-invariant |
L |
9.8416677233293 |
L(r)(E,1)/r! |
Ω |
0.47096704838905 |
Real period |
R |
1.3060451584698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98880bn1 3090g1 |
Quadratic twists by: -4 8 |