Atkin-Lehner |
3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
705f |
Isogeny class |
Conductor |
705 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
34423828125 = 3 · 512 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 0 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1078,-10369] |
[a1,a2,a3,a4,a6] |
j |
138356873478361/34423828125 |
j-invariant |
L |
2.5454221899006 |
L(r)(E,1)/r! |
Ω |
0.84847406330021 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11280o3 45120d4 2115e3 3525b3 |
Quadratic twists by: -4 8 -3 5 |