Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
45024l |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
55873613376 = 26 · 34 · 74 · 672 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1202,10920] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:1155:8] |
Generators of the group modulo torsion |
j |
3003436130752/873025209 |
j-invariant |
L |
8.8946391588174 |
L(r)(E,1)/r! |
Ω |
1.0381248679601 |
Real period |
R |
4.2839929151773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45024b1 90048e2 |
Quadratic twists by: -4 8 |