Atkin-Lehner |
2- 3- 7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74214p |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
408917677093632 = 28 · 318 · 7 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50663561,-138788040823] |
[a1,a2,a3,a4,a6] |
Generators |
[10653:722944:1] |
Generators of the group modulo torsion |
j |
19728011453387557712728393/560929598208 |
j-invariant |
L |
8.3277400502769 |
L(r)(E,1)/r! |
Ω |
0.056588167111329 |
Real period |
R |
4.5988744613268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000004545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24738b4 |
Quadratic twists by: -3 |