Atkin-Lehner |
3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61017a |
Isogeny class |
Conductor |
61017 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-36953746501359699 = -1 · 312 · 11 · 436 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,80393,-2920060] |
[a1,a2,a3,a4,a6] |
j |
9090072503/5845851 |
j-invariant |
L |
1.2556579860304 |
L(r)(E,1)/r! |
Ω |
0.20927633155036 |
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 |
33a4 |
Quadratic twists by: -43 |