Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550cj |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1614170250000000000 = 210 · 32 · 512 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-301963,18482417] |
[a1,a2,a3,a4,a6] |
j |
194878967635813609/103306896000000 |
j-invariant |
L |
4.6778850704072 |
L(r)(E,1)/r! |
Ω |
0.23389425352036 |
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 |
92400dr2 34650bh2 2310a2 80850dw2 |
Quadratic twists by: -4 -3 5 -7 |