Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24360a |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-7248048470046720 = -1 · 211 · 320 · 5 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23624,-3858164] |
[a1,a2,a3,a4,a6] |
Generators |
[6922:206085:8] |
Generators of the group modulo torsion |
j |
711927350772622/3539086167015 |
j-invariant |
L |
3.4810235860001 |
L(r)(E,1)/r! |
Ω |
0.21069529248963 |
Real period |
R |
8.260800573348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48720q3 73080bo3 121800bp3 |
Quadratic twists by: -4 -3 5 |