Atkin-Lehner |
3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74727o |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.5257781871857E+21 |
Discriminant |
Eigenvalues |
-1 3- 2 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18386159,30252929078] |
[a1,a2,a3,a4,a6] |
Generators |
[-52657134072207:-2206062372085823:12438789013] |
Generators of the group modulo torsion |
j |
20042301472793137/73645476129 |
j-invariant |
L |
5.36057257905 |
L(r)(E,1)/r! |
Ω |
0.14521021725446 |
Real period |
R |
18.457973134083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002417 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24909m2 3933a2 |
Quadratic twists by: -3 -19 |