Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400z |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-1391787670000 = -1 · 24 · 54 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 3 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,56713] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:195:1] [-12:245:1] |
Generators of the group modulo torsion |
j |
-6400/1183 |
j-invariant |
L |
8.8811981000721 |
L(r)(E,1)/r! |
Ω |
0.69775462326257 |
Real period |
R |
0.26517195922001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999952879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127400bp1 18200h1 |
Quadratic twists by: 5 -7 |