Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600ck |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1064900163600000000 = 210 · 38 · 58 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1324408,-584989312] |
[a1,a2,a3,a4,a6] |
Generators |
[-688:1008:1] |
Generators of the group modulo torsion |
j |
16057186204796356/66556260225 |
j-invariant |
L |
7.8584264686376 |
L(r)(E,1)/r! |
Ω |
0.14076749127436 |
Real period |
R |
1.7445492913236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200g2 10920a2 |
Quadratic twists by: -4 5 |