Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550y |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
133402500000000 = 28 · 32 · 510 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31126,2036648] |
[a1,a2,a3,a4,a6] |
Generators |
[72:376:1] |
Generators of the group modulo torsion |
j |
213429068128081/8537760000 |
j-invariant |
L |
4.3668147746392 |
L(r)(E,1)/r! |
Ω |
0.57897546986025 |
Real period |
R |
1.8855784925108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92400du2 34650dn2 2310n2 80850l2 |
Quadratic twists by: -4 -3 5 -7 |