Atkin-Lehner |
2- 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
5538o |
Isogeny class |
Conductor |
5538 |
Conductor |
∏ cp |
234 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-1934756388864 = -1 · 213 · 39 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 1 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2294,-51676] |
[a1,a2,a3,a4,a6] |
Generators |
[32:218:1] |
Generators of the group modulo torsion |
j |
1335033367297631/1934756388864 |
j-invariant |
L |
6.2449654060342 |
L(r)(E,1)/r! |
Ω |
0.44087289286209 |
Real period |
R |
0.060534196551117 |
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 |
44304c1 16614h1 71994t1 |
Quadratic twists by: -4 -3 13 |