Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
24240y |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4241030400 = -1 · 28 · 38 · 52 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,404,-404] |
[a1,a2,a3,a4,a6] |
Generators |
[21:130:1] |
Generators of the group modulo torsion |
j |
28415310896/16566525 |
j-invariant |
L |
2.2284825087663 |
L(r)(E,1)/r! |
Ω |
0.81745876944512 |
Real period |
R |
2.7261099789522 |
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 |
6060d2 96960dv2 72720cc2 121200ds2 |
Quadratic twists by: -4 8 -3 5 |