Atkin-Lehner |
2- 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208ba |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.3701511179405E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,653987,115653553] |
[a1,a2,a3,a4,a6] |
j |
20960715776000/16060229667 |
j-invariant |
L |
2.1872674223122 |
L(r)(E,1)/r! |
Ω |
0.13670421301197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17052i2 68208cg2 |
Quadratic twists by: -4 -7 |