Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450p |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
49990500 = 22 · 33 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2247,-40439] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:14:1] |
Generators of the group modulo torsion |
j |
371850068871/14812 |
j-invariant |
L |
4.2546469038491 |
L(r)(E,1)/r! |
Ω |
0.69341106100055 |
Real period |
R |
1.533955521808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000543 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450db2 72450cx2 |
Quadratic twists by: -3 5 |