Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600bv |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
4722524979200 = 215 · 52 · 78 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 -2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6288,-163052] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:176:1] [-33:98:1] |
Generators of the group modulo torsion |
j |
46585/8 |
j-invariant |
L |
5.5204338899384 |
L(r)(E,1)/r! |
Ω |
0.5424080361804 |
Real period |
R |
0.84813669195308 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450t1 78400gh1 19600di1 19600cn1 |
Quadratic twists by: -4 8 5 -7 |