Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550f |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
144375000 = 23 · 3 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1232000,-526851000] |
[a1,a2,a3,a4,a6] |
j |
13235378341603461121/9240 |
j-invariant |
L |
1.1464016931571 |
L(r)(E,1)/r! |
Ω |
0.14330021164464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400gm4 34650dq4 2310v3 80850by4 |
Quadratic twists by: -4 -3 5 -7 |