Atkin-Lehner |
3+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
90675f |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
566784 |
Modular degree for the optimal curve |
Δ |
595538381953125 = 39 · 57 · 13 · 313 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 1 2 13- -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-46575,-3686344] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:418:1] |
Generators of the group modulo torsion |
j |
36330467328/1936415 |
j-invariant |
L |
3.6147600696251 |
L(r)(E,1)/r! |
Ω |
0.32606156007093 |
Real period |
R |
0.92384396811734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90675e1 18135c1 |
Quadratic twists by: -3 5 |