Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800bd |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1395081842000 = 24 · 53 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3103,35652] |
[a1,a2,a3,a4,a6] |
Generators |
[111:1023:1] |
Generators of the group modulo torsion |
j |
14047232/5929 |
j-invariant |
L |
10.206688545321 |
L(r)(E,1)/r! |
Ω |
0.77188597049321 |
Real period |
R |
3.3057630718809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107800cj1 15400j1 |
Quadratic twists by: 5 -7 |