Atkin-Lehner |
2- 3- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494cc |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
628576912282650408 = 23 · 39 · 7 · 114 · 794 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-214169,-493999] |
[a1,a2,a3,a4,a6] |
j |
1490267084642763337/862245421512552 |
j-invariant |
L |
5.8395263903185 |
L(r)(E,1)/r! |
Ω |
0.24331359579286 |
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 |
36498z3 |
Quadratic twists by: -3 |