Atkin-Lehner |
3- 5- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33915s |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
318856607881875 = 38 · 54 · 72 · 174 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17158,-102319] |
[a1,a2,a3,a4,a6] |
Generators |
[-970:4051:8] |
Generators of the group modulo torsion |
j |
558582488929707481/318856607881875 |
j-invariant |
L |
9.3340399255485 |
L(r)(E,1)/r! |
Ω |
0.45155577961299 |
Real period |
R |
1.291927867354 |
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 |
101745q3 |
Quadratic twists by: -3 |