Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970bi |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
45374199710427000 = 23 · 39 · 53 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-116993,-11468519] |
[a1,a2,a3,a4,a6] |
j |
8997224809453803/2305248169000 |
j-invariant |
L |
4.734444149835 |
L(r)(E,1)/r! |
Ω |
0.26302467499084 |
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 |
95760by4 11970l2 59850n4 83790dg4 |
Quadratic twists by: -4 -3 5 -7 |