Atkin-Lehner |
2- 3+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
5226d |
Isogeny class |
Conductor |
5226 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-687789093888 = -1 · 210 · 33 · 135 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -1 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7538,251903] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:691:1] |
Generators of the group modulo torsion |
j |
-47369163153390625/687789093888 |
j-invariant |
L |
4.8450236913477 |
L(r)(E,1)/r! |
Ω |
0.90851628925507 |
Real period |
R |
0.106657937753 |
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 |
41808p1 15678e1 67938b1 |
Quadratic twists by: -4 -3 13 |