Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23030g |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7643850856752250 = -1 · 2 · 53 · 712 · 472 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,48877,649727] |
[a1,a2,a3,a4,a6] |
Generators |
[67347:1746674:729] |
Generators of the group modulo torsion |
j |
109757754532439/64971660250 |
j-invariant |
L |
5.0905517407618 |
L(r)(E,1)/r! |
Ω |
0.25393781343629 |
Real period |
R |
10.023225119324 |
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 |
115150ca2 3290e2 |
Quadratic twists by: 5 -7 |