Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
63648d |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18229805568 = 29 · 36 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16275,-799126] |
[a1,a2,a3,a4,a6] |
Generators |
[7058:207315:8] |
Generators of the group modulo torsion |
j |
1277289125000/48841 |
j-invariant |
L |
4.8471645974807 |
L(r)(E,1)/r! |
Ω |
0.42268837304355 |
Real period |
R |
5.7337330600102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63648c2 127296dn2 7072c2 |
Quadratic twists by: -4 8 -3 |