Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400j |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
479631443200 = 28 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15353,-736597] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:22:1] |
Generators of the group modulo torsion |
j |
531573760/637 |
j-invariant |
L |
8.5194496802608 |
L(r)(E,1)/r! |
Ω |
0.42892378952864 |
Real period |
R |
2.4827981744626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127400cb1 18200a1 |
Quadratic twists by: 5 -7 |