Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10050t |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-519718464000000 = -1 · 212 · 33 · 56 · 673 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,20012,133781] |
[a1,a2,a3,a4,a6] |
j |
56724909592967/33261981696 |
j-invariant |
L |
3.7943705960282 |
L(r)(E,1)/r! |
Ω |
0.31619754966901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400dd2 30150r2 402d2 |
Quadratic twists by: -4 -3 5 |