Atkin-Lehner |
2+ 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550u |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
861120 |
Modular degree for the optimal curve |
Δ |
-2967653520000000000 = -1 · 213 · 32 · 510 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,190299,76492048] |
[a1,a2,a3,a4,a6] |
Generators |
[176:10656:1] |
Generators of the group modulo torsion |
j |
78043451459375/303887720448 |
j-invariant |
L |
5.4941796203814 |
L(r)(E,1)/r! |
Ω |
0.1806863031966 |
Real period |
R |
2.5339402799351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56550bs1 |
Quadratic twists by: 5 |