Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608do |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
2.3485915029231E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89164260,-324066557376] |
[a1,a2,a3,a4,a6] |
j |
972399888658114344000/291310571251 |
j-invariant |
L |
2.9478345951159 |
L(r)(E,1)/r! |
Ω |
0.049130576488179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cv1 38304bd1 76608dp1 |
Quadratic twists by: -4 8 -3 |