Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400bz |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
195767936000 = 210 · 53 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1715,17150] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:196:1] [70:490:1] |
Generators of the group modulo torsion |
j |
37044/13 |
j-invariant |
L |
11.51673583682 |
L(r)(E,1)/r! |
Ω |
0.92345232124531 |
Real period |
R |
3.1178479852721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127400x1 2600l1 |
Quadratic twists by: 5 -7 |