Atkin-Lehner |
2+ 3+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970i |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-67014740944835640 = -1 · 23 · 320 · 5 · 113 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-254762,50930796] |
[a1,a2,a3,a4,a6] |
j |
-1373890970207112371/50349166750440 |
j-invariant |
L |
2.764886132125 |
L(r)(E,1)/r! |
Ω |
0.34561076536471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68970bs2 |
Quadratic twists by: -11 |