Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680x |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
401803628601600 = 28 · 32 · 52 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22060,-820000] |
[a1,a2,a3,a4,a6] |
Generators |
[-268892:545160:2197] |
Generators of the group modulo torsion |
j |
192143824/65025 |
j-invariant |
L |
7.6359693821748 |
L(r)(E,1)/r! |
Ω |
0.4024623623319 |
Real period |
R |
9.4865633371671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69360p2 104040by2 2040a2 |
Quadratic twists by: -4 -3 17 |