Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24240bb |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
5.50854E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -6 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66050120,-203482237968] |
[a1,a2,a3,a4,a6] |
Generators |
[-1708308:-15000000:343] |
Generators of the group modulo torsion |
j |
7780089690739036865495881/134485839843750000000 |
j-invariant |
L |
4.9938513081262 |
L(r)(E,1)/r! |
Ω |
0.053013514060647 |
Real period |
R |
2.616655287814 |
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 |
3030m2 96960dn2 72720br2 121200dc2 |
Quadratic twists by: -4 8 -3 5 |