Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400bl |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
2070250000 = 24 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1108,-13663] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:13:1] |
Generators of the group modulo torsion |
j |
12291328/169 |
j-invariant |
L |
4.5117884373385 |
L(r)(E,1)/r! |
Ω |
0.82812023444647 |
Real period |
R |
1.3620571692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5096d1 127400bc1 |
Quadratic twists by: 5 -7 |