Atkin-Lehner |
7- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
55517b |
Isogeny class |
Conductor |
55517 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13024 |
Modular degree for the optimal curve |
Δ |
-388619 = -1 · 73 · 11 · 103 |
Discriminant |
Eigenvalues |
-2 -1 3 7- 11- -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-44,132] |
[a1,a2,a3,a4,a6] |
Generators |
[5:3:1] |
Generators of the group modulo torsion |
j |
-28094464/1133 |
j-invariant |
L |
2.8465480268627 |
L(r)(E,1)/r! |
Ω |
2.9811277838216 |
Real period |
R |
0.47742804622578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55517c1 |
Quadratic twists by: -7 |