Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800n |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
730000000000 = 210 · 510 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 4 -4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2500,25000] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1249:8] |
Generators of the group modulo torsion |
j |
172800/73 |
j-invariant |
L |
4.3563331857429 |
L(r)(E,1)/r! |
Ω |
0.81461946992372 |
Real period |
R |
5.3476908602809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000210785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800ce1 7300c1 116800bj1 |
Quadratic twists by: -4 8 5 |