Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168cf |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
574588256256 = 216 · 34 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3617,-74175] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1080:1] |
Generators of the group modulo torsion |
j |
79874724388/8767521 |
j-invariant |
L |
4.0132277237853 |
L(r)(E,1)/r! |
Ω |
0.61999064884906 |
Real period |
R |
3.2365227856508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63168bm2 15792j2 |
Quadratic twists by: -4 8 |