Atkin-Lehner |
2+ 3- 5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090bi |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
14745600 |
Modular degree for the optimal curve |
Δ |
-1.1322551414119E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13703634,54795810388] |
[a1,a2,a3,a4,a6] |
Generators |
[-3948:219574:1] |
Generators of the group modulo torsion |
j |
-390394287570401650575649/1553162059549900800000 |
j-invariant |
L |
5.3235870975474 |
L(r)(E,1)/r! |
Ω |
0.075840413473898 |
Real period |
R |
3.5097297426158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bb1 |
Quadratic twists by: -3 |