Atkin-Lehner |
2+ 3- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
57072j |
Isogeny class |
Conductor |
57072 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1334016 |
Modular degree for the optimal curve |
Δ |
-1.0534973350508E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 -1 1 3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,507160,-70971861] |
[a1,a2,a3,a4,a6] |
Generators |
[15805:1989033:1] |
Generators of the group modulo torsion |
j |
901649721028143421184/658435834406766303 |
j-invariant |
L |
5.4566770720157 |
L(r)(E,1)/r! |
Ω |
0.12809397909399 |
Real period |
R |
7.0998354885698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28536b1 |
Quadratic twists by: -4 |