Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440u |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6.75067904E+20 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3100641,1690283105] |
[a1,a2,a3,a4,a6] |
Generators |
[593864232:14652859375:328509] |
Generators of the group modulo torsion |
j |
12575880055729259641/2575179687500000 |
j-invariant |
L |
9.14470237904 |
L(r)(E,1)/r! |
Ω |
0.1527538116415 |
Real period |
R |
9.9776041384713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440ch2 2170h2 |
Quadratic twists by: -4 8 |