Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680el |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.4988985046144E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-250931523,-1529961177278] |
[a1,a2,a3,a4,a6] |
j |
585196747116290735872321/836876053125000 |
j-invariant |
L |
2.4276761789541 |
L(r)(E,1)/r! |
Ω |
0.037932440591167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710f5 28560ef6 |
Quadratic twists by: -4 -3 |