Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6660f |
Isogeny class |
Conductor |
6660 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-632179687500000000 = -1 · 28 · 37 · 515 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,143088,32083684] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:4950:1] |
Generators of the group modulo torsion |
j |
1736064508952576/3387451171875 |
j-invariant |
L |
4.5742952479695 |
L(r)(E,1)/r! |
Ω |
0.19903443511806 |
Real period |
R |
1.1491215691536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26640cd2 106560bi2 2220c2 33300i2 |
Quadratic twists by: -4 8 -3 5 |