Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486u |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-26620811771904 = -1 · 215 · 38 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 6 -5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6993,-333347] |
[a1,a2,a3,a4,a6] |
j |
-143719103593/101154816 |
j-invariant |
L |
3.0380613818277 |
L(r)(E,1)/r! |
Ω |
0.25317178183123 |
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 |
15162x2 45486bm2 |
Quadratic twists by: -3 -19 |