Atkin-Lehner |
2- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800bb |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
51430400000000 = 216 · 58 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -6 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14075,542250] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:800:1] [-19:896:1] |
Generators of the group modulo torsion |
j |
4818245769/803600 |
j-invariant |
L |
10.548017945009 |
L(r)(E,1)/r! |
Ω |
0.60384239503552 |
Real period |
R |
2.1835204910081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001719 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14350q1 22960k1 |
Quadratic twists by: -4 5 |