Atkin-Lehner |
2- 3- 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090eb |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
287688360960 = 210 · 36 · 5 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2147,-27741] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:98:1] |
Generators of the group modulo torsion |
j |
1500730351849/394634240 |
j-invariant |
L |
12.039833957699 |
L(r)(E,1)/r! |
Ω |
0.71509369076314 |
Real period |
R |
0.84183612001033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010c1 |
Quadratic twists by: -3 |