Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600bg |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-248433868800 = -1 · 220 · 36 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 5 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13208,-580368] |
[a1,a2,a3,a4,a6] |
Generators |
[1106:36558:1] |
Generators of the group modulo torsion |
j |
-2488672890625/2426112 |
j-invariant |
L |
4.2085569385848 |
L(r)(E,1)/r! |
Ω |
0.22265485373946 |
Real period |
R |
4.7254268971715 |
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 |
1950h1 62400gh1 46800dv1 15600cm1 |
Quadratic twists by: -4 8 -3 5 |