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 |
-57379485230910612 = -1 · 22 · 314 · 7 · 11 · 794 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80001,-14425695] |
[a1,a2,a3,a4,a6] |
Generators |
[70122465:-2822772177:42875] |
Generators of the group modulo torsion |
j |
-77675755192083217/78709856283828 |
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 |
36498bm3 |
Quadratic twists by: -3 |