Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
15792w |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
782078459904 = 214 · 32 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2304,2304] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:94:1] [-27:210:1] |
Generators of the group modulo torsion |
j |
330369290497/190937124 |
j-invariant |
L |
5.5784466065834 |
L(r)(E,1)/r! |
Ω |
0.76056732574189 |
Real period |
R |
1.833646548365 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1974h2 63168do2 47376bk2 110544do2 |
Quadratic twists by: -4 8 -3 -7 |