Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520ca |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2019584000000000000 = 220 · 512 · 73 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -6 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-677185,203075775] |
[a1,a2,a3,a4,a6] |
Generators |
[305:5000:1] |
Generators of the group modulo torsion |
j |
131010595463836369/7704101562500 |
j-invariant |
L |
4.1590317541381 |
L(r)(E,1)/r! |
Ω |
0.25776202187416 |
Real period |
R |
1.3445967601722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520bi3 12880l3 |
Quadratic twists by: -4 8 |