Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600ce |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
57921708000000 = 28 · 3 · 56 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18708,908088] |
[a1,a2,a3,a4,a6] |
Generators |
[-324842:3335667:2744] |
Generators of the group modulo torsion |
j |
181037698000/14480427 |
j-invariant |
L |
6.50700144392 |
L(r)(E,1)/r! |
Ω |
0.61191255994964 |
Real period |
R |
10.633874624923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3900c4 62400ex4 46800de4 624g4 |
Quadratic twists by: -4 8 -3 5 |