Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15450w |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-86906250 = -1 · 2 · 33 · 56 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-513,4281] |
[a1,a2,a3,a4,a6] |
j |
-955671625/5562 |
j-invariant |
L |
3.8490987758916 |
L(r)(E,1)/r! |
Ω |
1.9245493879458 |
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 |
123600cm1 46350n1 618c1 |
Quadratic twists by: -4 -3 5 |