Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550bu |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2188134506250000 = 24 · 310 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43588,2665781] |
[a1,a2,a3,a4,a6] |
j |
586145095611769/140040608400 |
j-invariant |
L |
3.4778543511686 |
L(r)(E,1)/r! |
Ω |
0.43473179389608 |
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 |
92400gc2 34650y2 2310f2 80850gm2 |
Quadratic twists by: -4 -3 5 -7 |