Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664t |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
26998707456 = 28 · 37 · 7 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-759,1510] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:90:1] |
Generators of the group modulo torsion |
j |
259108432/144669 |
j-invariant |
L |
8.7221821444596 |
L(r)(E,1)/r! |
Ω |
1.0266367120135 |
Real period |
R |
2.1239699594197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41832w2 27888l2 |
Quadratic twists by: -4 -3 |