Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112700ba |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-217827123500000000 = -1 · 28 · 59 · 77 · 232 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -3 3 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,130667,-13136537] |
[a1,a2,a3,a4,a6] |
Generators |
[22566:704375:27] |
Generators of the group modulo torsion |
j |
4194304/3703 |
j-invariant |
L |
7.5828298404553 |
L(r)(E,1)/r! |
Ω |
0.1733731713793 |
Real period |
R |
2.7335651751256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112700x1 16100j1 |
Quadratic twists by: 5 -7 |