Atkin-Lehner |
2+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330l |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
200704 |
Modular degree for the optimal curve |
Δ |
9897860061440 = 28 · 5 · 13 · 296 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5624,-57280] |
[a1,a2,a3,a4,a6] |
Generators |
[224:3032:1] |
Generators of the group modulo torsion |
j |
33076161/16640 |
j-invariant |
L |
4.8560936730154 |
L(r)(E,1)/r! |
Ω |
0.58112009954757 |
Real period |
R |
4.178218620808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
130b1 |
Quadratic twists by: 29 |