Atkin-Lehner |
2+ 3+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
5538f |
Isogeny class |
Conductor |
5538 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
648458974072406016 = 224 · 32 · 132 · 714 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-89474389,-325796133395] |
[a1,a2,a3,a4,a6] |
Generators |
[1253240233011815338:36952992614688327211:110598912144001] |
Generators of the group modulo torsion |
j |
79217283177958789227995398873/648458974072406016 |
j-invariant |
L |
2.295497098662 |
L(r)(E,1)/r! |
Ω |
0.049087946987348 |
Real period |
R |
23.381473860107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44304p2 16614t2 71994bc2 |
Quadratic twists by: -4 -3 13 |