Atkin-Lehner |
3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34545i |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
73708561832968125 = 33 · 54 · 711 · 472 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -2 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-118588992,497017303119] |
[a1,a2,a3,a4,a6] |
Generators |
[1658:551401:1] |
Generators of the group modulo torsion |
j |
1567720403296973423899129/626512438125 |
j-invariant |
L |
5.1578822468607 |
L(r)(E,1)/r! |
Ω |
0.20786807007763 |
Real period |
R |
3.1016561640123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635w2 4935c2 |
Quadratic twists by: -3 -7 |