Atkin-Lehner |
3- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701bc |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
653627105492823 = 34 · 712 · 11 · 53 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 11- -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-149206,22136813] |
[a1,a2,a3,a4,a6] |
j |
3122442985571281/5555738727 |
j-invariant |
L |
2.0473914578483 |
L(r)(E,1)/r! |
Ω |
0.51184786264641 |
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 |
12243d2 |
Quadratic twists by: -7 |