Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400r |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-4349336468750000 = -1 · 24 · 59 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12250,3215625] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1911:1] |
Generators of the group modulo torsion |
j |
-55296/1183 |
j-invariant |
L |
4.3329881005329 |
L(r)(E,1)/r! |
Ω |
0.36702660708357 |
Real period |
R |
1.475706373378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000171596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127400cf1 18200k1 |
Quadratic twists by: 5 -7 |