Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520k |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5.4247375223926E+21 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 6 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10425241,13435530305] |
[a1,a2,a3,a4,a6] |
j |
-122372013839654770813696/5297595236711512175 |
j-invariant |
L |
1.6132259473563 |
L(r)(E,1)/r! |
Ω |
0.13443549556571 |
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 |
51520bo2 3220c2 |
Quadratic twists by: -4 8 |