Atkin-Lehner |
3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
90675v |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
451766368828125 = 315 · 57 · 13 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-137550,-19608719] |
[a1,a2,a3,a4,a6] |
Generators |
[565:9112:1] |
Generators of the group modulo torsion |
j |
25267247939584/39661245 |
j-invariant |
L |
4.2675580149571 |
L(r)(E,1)/r! |
Ω |
0.24792786962229 |
Real period |
R |
1.0758063508537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999715638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30225f1 18135r1 |
Quadratic twists by: -3 5 |