Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24864a |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3173053768593408 = 212 · 310 · 7 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 6 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69968353,-225245242607] |
[a1,a2,a3,a4,a6] |
Generators |
[1434085496992731:188700930916952828:67867385039] |
Generators of the group modulo torsion |
j |
9248445115714516474216000/774671330223 |
j-invariant |
L |
4.5868713839082 |
L(r)(E,1)/r! |
Ω |
0.052200437317953 |
Real period |
R |
21.967590788414 |
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 |
24864y2 49728bq1 74592bb2 |
Quadratic twists by: -4 8 -3 |