Atkin-Lehner |
2+ 3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470h |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-349808824292400 = -1 · 24 · 38 · 52 · 11 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,17593,-48411] |
[a1,a2,a3,a4,a6] |
Generators |
[23:596:1] |
Generators of the group modulo torsion |
j |
602150218566176519/349808824292400 |
j-invariant |
L |
2.5064885621142 |
L(r)(E,1)/r! |
Ω |
0.31925914567056 |
Real period |
R |
1.9627382614597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58410bc3 97350ct3 |
Quadratic twists by: -3 5 |