Atkin-Lehner |
2- 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080bh |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-609599383142400000 = -1 · 223 · 37 · 55 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -5 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-215440,-53710400] |
[a1,a2,a3,a4,a6] |
j |
-269988211034534161/148827974400000 |
j-invariant |
L |
2.1605748677996 |
L(r)(E,1)/r! |
Ω |
0.10802874344383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6510bc1 |
Quadratic twists by: -4 |