Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496y |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-408161087488 = -1 · 212 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1111,27607] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:-4312:27] [3:176:1] |
Generators of the group modulo torsion |
j |
314432/847 |
j-invariant |
L |
5.7595736747 |
L(r)(E,1)/r! |
Ω |
0.6635164685401 |
Real period |
R |
1.0850472346549 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496br2 17248bg1 4928d2 |
Quadratic twists by: -4 8 -7 |