Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148cc |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
1.4587485540803E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3683885,2657503407] |
[a1,a2,a3,a4,a6] |
Generators |
[1801:-43218:1] |
Generators of the group modulo torsion |
j |
12538427613184/330812181 |
j-invariant |
L |
8.1247851642625 |
L(r)(E,1)/r! |
Ω |
0.18279880274536 |
Real period |
R |
0.4115425874109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10164e1 71148bz1 |
Quadratic twists by: -7 -11 |