Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160x |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3022646860800 = 210 · 32 · 52 · 7 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34056,-2428956] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:18:1] [224:1110:1] |
Generators of the group modulo torsion |
j |
4265966289971236/2951803575 |
j-invariant |
L |
11.157177216933 |
L(r)(E,1)/r! |
Ω |
0.35145370097649 |
Real period |
R |
3.9682244012271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080a4 |
Quadratic twists by: -4 |