Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544ey |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-6564230625119698944 = -1 · 225 · 39 · 7 · 175 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -1 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1269516,-564191728] |
[a1,a2,a3,a4,a6] |
Generators |
[2188:84456:1] |
Generators of the group modulo torsion |
j |
-1184052061112257/34349180544 |
j-invariant |
L |
8.7177108444403 |
L(r)(E,1)/r! |
Ω |
0.070993337804228 |
Real period |
R |
3.0699045548832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544br1 17136bs1 22848cf1 |
Quadratic twists by: -4 8 -3 |