Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8664i |
Isogeny class |
Conductor |
8664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
339023439791364096 = 211 · 33 · 1910 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-459312,-116340660] |
[a1,a2,a3,a4,a6] |
Generators |
[-48376734873126:123419370439925:111840831432] |
Generators of the group modulo torsion |
j |
111223479026/3518667 |
j-invariant |
L |
4.1975971965481 |
L(r)(E,1)/r! |
Ω |
0.18374431553575 |
Real period |
R |
22.844773098472 |
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 |
17328m3 69312bt4 25992k4 456b3 |
Quadratic twists by: -4 8 -3 -19 |