Atkin-Lehner |
2- 3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090cw |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-41375634300 = -1 · 22 · 310 · 52 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,292,-9669] |
[a1,a2,a3,a4,a6] |
Generators |
[190:711:8] |
Generators of the group modulo torsion |
j |
3789119879/56756700 |
j-invariant |
L |
9.2511005523632 |
L(r)(E,1)/r! |
Ω |
0.55990134272537 |
Real period |
R |
2.0653416622166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030d1 |
Quadratic twists by: -3 |