Atkin-Lehner |
2- 3- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
90768j |
Isogeny class |
Conductor |
90768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
54144 |
Modular degree for the optimal curve |
Δ |
371785728 = 216 · 3 · 31 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1912,-32812] |
[a1,a2,a3,a4,a6] |
Generators |
[6464607930:-16953450112:121287375] |
Generators of the group modulo torsion |
j |
188822850553/90768 |
j-invariant |
L |
10.611264481982 |
L(r)(E,1)/r! |
Ω |
0.7219733813618 |
Real period |
R |
14.697584100862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11346b1 |
Quadratic twists by: -4 |