Atkin-Lehner |
3- 5+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
90525k |
Isogeny class |
Conductor |
90525 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-87002127685546875 = -1 · 310 · 513 · 17 · 71 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 3 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-97783,18403969] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:4687:1] |
Generators of the group modulo torsion |
j |
-6617564753526784/5568136171875 |
j-invariant |
L |
7.7720476659284 |
L(r)(E,1)/r! |
Ω |
0.31173078477462 |
Real period |
R |
0.62329805454433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18105c1 |
Quadratic twists by: 5 |