Atkin-Lehner |
2- 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280ca |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-23907258843750000 = -1 · 24 · 38 · 59 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 -1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13827,-7465421] |
[a1,a2,a3,a4,a6] |
Generators |
[353:-5625:1] |
Generators of the group modulo torsion |
j |
-25064560263424/2049662109375 |
j-invariant |
L |
7.0670043654285 |
L(r)(E,1)/r! |
Ω |
0.1673528475073 |
Real period |
R |
1.1730047003449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38760g1 |
Quadratic twists by: -3 |