Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600w |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-449280000 = -1 · 211 · 33 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13- 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-1612] |
[a1,a2,a3,a4,a6] |
j |
-781250/351 |
j-invariant |
L |
3.6897548066516 |
L(r)(E,1)/r! |
Ω |
0.61495913444194 |
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 |
7800r1 62400fj1 46800bp1 15600c1 |
Quadratic twists by: -4 8 -3 5 |