Atkin-Lehner |
2+ 3- 5- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270n |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
108544 |
Modular degree for the optimal curve |
Δ |
21935610000 = 24 · 37 · 54 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-864,-6480] |
[a1,a2,a3,a4,a6] |
Generators |
[36:72:1] |
Generators of the group modulo torsion |
j |
97908438529/30090000 |
j-invariant |
L |
4.8156066508693 |
L(r)(E,1)/r! |
Ω |
0.90163440892132 |
Real period |
R |
0.66762184930931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30090g1 |
Quadratic twists by: -3 |