Atkin-Lehner |
5- 13- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
127075l |
Isogeny class |
Conductor |
127075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
78480 |
Modular degree for the optimal curve |
Δ |
-1985546875 = -1 · 58 · 13 · 17 · 23 |
Discriminant |
Eigenvalues |
-2 -2 5- -2 4 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-208,-2506] |
[a1,a2,a3,a4,a6] |
Generators |
[37:204:1] |
Generators of the group modulo torsion |
j |
-2560000/5083 |
j-invariant |
L |
2.2765182092237 |
L(r)(E,1)/r! |
Ω |
0.59054338698084 |
Real period |
R |
3.854955073608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999270649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127075a1 |
Quadratic twists by: 5 |