Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10608ba |
Isogeny class |
Conductor |
10608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-511208654082048 = -1 · 212 · 32 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3536,-1083628] |
[a1,a2,a3,a4,a6] |
Generators |
[767:21294:1] |
Generators of the group modulo torsion |
j |
1193377118543/124806800313 |
j-invariant |
L |
4.6111305037612 |
L(r)(E,1)/r! |
Ω |
0.24770696286763 |
Real period |
R |
2.3269079976495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
663b4 42432bl3 31824bk3 |
Quadratic twists by: -4 8 -3 |