Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5544v |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2934184176 = -1 · 24 · 39 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2127,37847] |
[a1,a2,a3,a4,a6] |
Generators |
[37:99:1] |
Generators of the group modulo torsion |
j |
-91238612224/251559 |
j-invariant |
L |
4.2518768995189 |
L(r)(E,1)/r! |
Ω |
1.4322868819576 |
Real period |
R |
0.24738275510535 |
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 |
11088j1 44352bx1 1848a1 38808ci1 |
Quadratic twists by: -4 8 -3 -7 |