Atkin-Lehner |
3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34545f |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.5121141448021E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4873296,4131723168] |
[a1,a2,a3,a4,a6] |
Generators |
[1211:2214:1] |
Generators of the group modulo torsion |
j |
108793725842818462321/213526179126225 |
j-invariant |
L |
2.3091912405829 |
L(r)(E,1)/r! |
Ω |
0.21252110055731 |
Real period |
R |
2.716425844925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103635bf4 4935i3 |
Quadratic twists by: -3 -7 |