Atkin-Lehner |
2+ 3- 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270g |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-1908420919593750 = -1 · 2 · 36 · 56 · 175 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37230,3482450] |
[a1,a2,a3,a4,a6] |
Generators |
[7220:50265:64] |
Generators of the group modulo torsion |
j |
-7828559452832481/2617861343750 |
j-invariant |
L |
4.8878391691856 |
L(r)(E,1)/r! |
Ω |
0.44168464740751 |
Real period |
R |
5.5331775734128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10030m1 |
Quadratic twists by: -3 |