Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680bt |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
54645293489817600 = 211 · 32 · 52 · 179 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185056,-28564000] |
[a1,a2,a3,a4,a6] |
Generators |
[-16404866:19711665:54872] |
Generators of the group modulo torsion |
j |
2885794/225 |
j-invariant |
L |
5.3651697635239 |
L(r)(E,1)/r! |
Ω |
0.2313202587513 |
Real period |
R |
11.596843684349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69360h2 104040bk2 34680bm2 |
Quadratic twists by: -4 -3 17 |