Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8664i |
Isogeny class |
Conductor |
8664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12678161875854336 = 210 · 36 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69432,4522140] |
[a1,a2,a3,a4,a6] |
Generators |
[2350590:18191600:35937] |
Generators of the group modulo torsion |
j |
768400132/263169 |
j-invariant |
L |
4.1975971965481 |
L(r)(E,1)/r! |
Ω |
0.36748863107149 |
Real period |
R |
11.422386549236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17328m2 69312bt2 25992k2 456b2 |
Quadratic twists by: -4 8 -3 -19 |