Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240cz |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1102768450560000 = 213 · 32 · 54 · 7 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26160,306900] |
[a1,a2,a3,a4,a6] |
Generators |
[2490:37875:8] |
Generators of the group modulo torsion |
j |
483385461758641/269230578750 |
j-invariant |
L |
8.7445418271836 |
L(r)(E,1)/r! |
Ω |
0.42412789537243 |
Real period |
R |
5.1544250694442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001087 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030s3 |
Quadratic twists by: -4 |