Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27300b |
Isogeny class |
Conductor |
27300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-14468563200 = -1 · 28 · 3 · 52 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,532,-3528] |
[a1,a2,a3,a4,a6] |
j |
2596940720/2260713 |
j-invariant |
L |
2.064507764891 |
L(r)(E,1)/r! |
Ω |
0.68816925496387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109200fx2 81900h2 27300x2 |
Quadratic twists by: -4 -3 5 |