Atkin-Lehner |
2+ 3- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494n |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
54757292436 = 22 · 38 · 74 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1501641,-707892183] |
[a1,a2,a3,a4,a6] |
Generators |
[-7226792013:3615703629:10218313] |
Generators of the group modulo torsion |
j |
513682415430827173777/75112884 |
j-invariant |
L |
6.1750676507788 |
L(r)(E,1)/r! |
Ω |
0.13638230046391 |
Real period |
R |
11.319407962387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000096484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36498bm4 |
Quadratic twists by: -3 |