Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570dg |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
3388074349363200 = 216 · 34 · 52 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43170,-2022588] |
[a1,a2,a3,a4,a6] |
Generators |
[-156:1038:1] |
Generators of the group modulo torsion |
j |
75627935783569/28798156800 |
j-invariant |
L |
11.444339362246 |
L(r)(E,1)/r! |
Ω |
0.34199877494898 |
Real period |
R |
1.0457218892772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6510o1 |
Quadratic twists by: -7 |