Atkin-Lehner |
5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
55055g |
Isogeny class |
Conductor |
55055 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
31488 |
Modular degree for the optimal curve |
Δ |
-9313599295 = -1 · 5 · 72 · 113 · 134 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-563,-7168] |
[a1,a2,a3,a4,a6] |
Generators |
[33686:2169341:8] |
Generators of the group modulo torsion |
j |
-14868788579/6997445 |
j-invariant |
L |
9.5793894189069 |
L(r)(E,1)/r! |
Ω |
0.47912621721215 |
Real period |
R |
4.9983642486514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55055b1 |
Quadratic twists by: -11 |