Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
15450q |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-2432818800 = -1 · 24 · 310 · 52 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 1 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-136,2438] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-61:1] |
Generators of the group modulo torsion |
j |
-11010369505/97312752 |
j-invariant |
L |
3.7631397703819 |
L(r)(E,1)/r! |
Ω |
1.2402074023601 |
Real period |
R |
0.15171413116954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600y1 46350ce1 15450ba1 |
Quadratic twists by: -4 -3 5 |