Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85176bp |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5952780288 = 211 · 33 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1755,28054] |
[a1,a2,a3,a4,a6] |
j |
4920750/49 |
j-invariant |
L |
2.703991682003 |
L(r)(E,1)/r! |
Ω |
1.3519958453192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85176k2 85176g2 |
Quadratic twists by: -3 13 |