Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
127800bi |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
45278773200 = 24 · 313 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4710,-123995] |
[a1,a2,a3,a4,a6] |
Generators |
[-302:27:8] |
Generators of the group modulo torsion |
j |
39627704320/155277 |
j-invariant |
L |
7.6826142008019 |
L(r)(E,1)/r! |
Ω |
0.57643014729846 |
Real period |
R |
3.3319796849062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600g1 127800z1 |
Quadratic twists by: -3 5 |