Atkin-Lehner |
2+ 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530ba |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
49432148640000 = 28 · 38 · 54 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-111609,-14319635] |
[a1,a2,a3,a4,a6] |
j |
210909442362223249/67808160000 |
j-invariant |
L |
2.0896470317145 |
L(r)(E,1)/r! |
Ω |
0.26120587896431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6510o2 97650ej2 |
Quadratic twists by: -3 5 |