Atkin-Lehner |
2+ 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
15130d |
Isogeny class |
Conductor |
15130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
361152 |
Modular degree for the optimal curve |
Δ |
-154349642315202560 = -1 · 219 · 5 · 174 · 893 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 5 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,70235,-17509355] |
[a1,a2,a3,a4,a6] |
j |
38316073193861735511/154349642315202560 |
j-invariant |
L |
0.65774840031672 |
L(r)(E,1)/r! |
Ω |
0.16443710007918 |
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 |
121040r1 75650v1 |
Quadratic twists by: -4 5 |