Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400u |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2376000 |
Modular degree for the optimal curve |
Δ |
-1.74729000628E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 1 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,332792,187157088] |
[a1,a2,a3,a4,a6] |
Generators |
[-6886988:14011044508:1030301] |
Generators of the group modulo torsion |
j |
86614940/371293 |
j-invariant |
L |
4.6982121831634 |
L(r)(E,1)/r! |
Ω |
0.15645145909751 |
Real period |
R |
15.014919402001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000182653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127400bw1 2600g1 |
Quadratic twists by: 5 -7 |