Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
24864p |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4352611479552 = 212 · 34 · 7 · 374 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4849,84193] |
[a1,a2,a3,a4,a6] |
Generators |
[61:108:1] |
Generators of the group modulo torsion |
j |
3079001334592/1062649287 |
j-invariant |
L |
2.8866841676007 |
L(r)(E,1)/r! |
Ω |
0.71399513260233 |
Real period |
R |
2.0215012930686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24864ba3 49728ea1 74592i3 |
Quadratic twists by: -4 8 -3 |