Atkin-Lehner |
2- 3+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51240m |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
73528873629926400 = 210 · 38 · 52 · 76 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105096,1364220] |
[a1,a2,a3,a4,a6] |
j |
125367928105930276/71805540654225 |
j-invariant |
L |
0.59074727687688 |
L(r)(E,1)/r! |
Ω |
0.29537363892535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102480l2 |
Quadratic twists by: -4 |