Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550cr |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-805659763755000 = -1 · 23 · 3 · 54 · 79 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5362,1357692] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:1050:1] |
Generators of the group modulo torsion |
j |
27278410559375/1289055622008 |
j-invariant |
L |
8.3411755396939 |
L(r)(E,1)/r! |
Ω |
0.38155516843007 |
Real period |
R |
0.80966647278607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400fc2 34650cf2 11550b2 80850ez2 |
Quadratic twists by: -4 -3 5 -7 |