Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536cu |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
20705075822592 = 215 · 36 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11228609,-14486027265] |
[a1,a2,a3,a4,a6] |
Generators |
[3994:66297:1] |
Generators of the group modulo torsion |
j |
4778061038325269847944/631868769 |
j-invariant |
L |
5.7661212796805 |
L(r)(E,1)/r! |
Ω |
0.082474190519897 |
Real period |
R |
5.8261876062198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536cn4 12768m2 76608dw4 |
Quadratic twists by: -4 8 -3 |