Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560ee |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
340405734249000000 = 26 · 310 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2315397,-1355792564] |
[a1,a2,a3,a4,a6] |
Generators |
[-888:230:1] |
Generators of the group modulo torsion |
j |
250094631024064/62015625 |
j-invariant |
L |
6.052887351754 |
L(r)(E,1)/r! |
Ω |
0.12239104717506 |
Real period |
R |
4.1212759513284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986588 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70560br1 23520r1 10080bn1 |
Quadratic twists by: -4 -3 -7 |