Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160ff |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
68825736806400 = 219 · 37 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1106380812,-14164624511984] |
[a1,a2,a3,a4,a6] |
Generators |
[152192:57815100:1] |
Generators of the group modulo torsion |
j |
783736670177727068275201/360150 |
j-invariant |
L |
6.290357631351 |
L(r)(E,1)/r! |
Ω |
0.026177212341932 |
Real period |
R |
7.5093433713273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160ce7 5040bi7 6720cd7 100800lv8 |
Quadratic twists by: -4 8 -3 5 |