Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680el |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1.6118129819314E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15825603,-23449463102] |
[a1,a2,a3,a4,a6] |
j |
146796951366228945601/5397929064360000 |
j-invariant |
L |
2.4276761789541 |
L(r)(E,1)/r! |
Ω |
0.075864881182335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10710f4 28560ef3 |
Quadratic twists by: -4 -3 |