Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525br |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-1.183840652527E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -3 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-152553,-167172631] |
[a1,a2,a3,a4,a6] |
Generators |
[1059:29326:1] |
Generators of the group modulo torsion |
j |
-133493637775360/4024991806227 |
j-invariant |
L |
6.407552869003 |
L(r)(E,1)/r! |
Ω |
0.098261829999671 |
Real period |
R |
3.6227206388332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84525bf1 12075a1 |
Quadratic twists by: 5 -7 |