Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870bg |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-142969982449708800 = -1 · 28 · 38 · 52 · 237 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-222191,-44245575] |
[a1,a2,a3,a4,a6] |
j |
-8194759433281/965779200 |
j-invariant |
L |
3.4952103828535 |
L(r)(E,1)/r! |
Ω |
0.10922532446417 |
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 |
126960ba1 47610w1 79350e1 690k1 |
Quadratic twists by: -4 -3 5 -23 |