Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870p |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
16944590512558080 = 212 · 35 · 5 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-319263,69124018] |
[a1,a2,a3,a4,a6] |
j |
24310870577209/114462720 |
j-invariant |
L |
1.9604729450423 |
L(r)(E,1)/r! |
Ω |
0.39209458900847 |
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 |
126960br1 47610bq1 79350cc1 690e1 |
Quadratic twists by: -4 -3 5 -23 |