Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800f |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
191365120000000 = 225 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 1 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41633,3215137] |
[a1,a2,a3,a4,a6] |
Generators |
[377:6400:1] |
Generators of the group modulo torsion |
j |
1948441249/46720 |
j-invariant |
L |
5.6598780305455 |
L(r)(E,1)/r! |
Ω |
0.56575529638856 |
Real period |
R |
0.62525685363394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800bs1 3650a1 23360j1 |
Quadratic twists by: -4 8 5 |