Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3220c |
Isogeny class |
Conductor |
3220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-8.4761523787384E+19 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -6 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2606310,1678138133] |
[a1,a2,a3,a4,a6] |
j |
-122372013839654770813696/5297595236711512175 |
j-invariant |
L |
2.2814460131206 |
L(r)(E,1)/r! |
Ω |
0.19012050109338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12880x2 51520k2 28980e2 16100c2 |
Quadratic twists by: -4 8 -3 5 |