Atkin-Lehner |
2+ 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800c |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
2203125000000 = 26 · 3 · 512 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3658,-45188] |
[a1,a2,a3,a4,a6] |
Generators |
[68:126:1] |
Generators of the group modulo torsion |
j |
5414689216/2203125 |
j-invariant |
L |
5.4013008642462 |
L(r)(E,1)/r! |
Ω |
0.63607904650762 |
Real period |
R |
4.2457780265818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999751614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112800y1 22560s1 |
Quadratic twists by: -4 5 |