Atkin-Lehner |
2- 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98838z |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
343022034392694 = 2 · 39 · 176 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-86321,9742411] |
[a1,a2,a3,a4,a6] |
j |
149721291/722 |
j-invariant |
L |
1.0853780771241 |
L(r)(E,1)/r! |
Ω |
0.54268891431059 |
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 |
98838c2 342d2 |
Quadratic twists by: -3 17 |