Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040bu |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33367775385600 = 211 · 33 · 52 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35547,-2564586] |
[a1,a2,a3,a4,a6] |
Generators |
[-4033998:2016525:39304] |
Generators of the group modulo torsion |
j |
3721734/25 |
j-invariant |
L |
6.8780568541728 |
L(r)(E,1)/r! |
Ω |
0.34783605938965 |
Real period |
R |
9.8869232968911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999651299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104040b2 360b2 |
Quadratic twists by: -3 17 |