Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800bv |
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- -1 5+ 2 6 2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15833,-760463] |
[a1,a2,a3,a4,a6] |
j |
43897600/73 |
j-invariant |
L |
1.7025891208836 |
L(r)(E,1)/r! |
Ω |
0.42564726240593 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800d1 29200k1 116800cw1 |
Quadratic twists by: -4 8 5 |