Atkin-Lehner |
2+ 3- 5- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270m |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
6709248 |
Modular degree for the optimal curve |
Δ |
-9.1892739151453E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5024286,-1576627052] |
[a1,a2,a3,a4,a6] |
Generators |
[4277:311129:1] |
Generators of the group modulo torsion |
j |
19240625837946609595871/12605314012545024000 |
j-invariant |
L |
4.6232556605213 |
L(r)(E,1)/r! |
Ω |
0.074058134580159 |
Real period |
R |
3.4681880494749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999757956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30090e1 |
Quadratic twists by: -3 |