Atkin-Lehner |
2- 3- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
106176by |
Isogeny class |
Conductor |
106176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
16366039990272 = 226 · 32 · 73 · 79 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35105,2512479] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:1512:1] |
Generators of the group modulo torsion |
j |
18251690409289/62431488 |
j-invariant |
L |
6.2650390463809 |
L(r)(E,1)/r! |
Ω |
0.69864256645807 |
Real period |
R |
4.4837226758727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106176m1 26544j1 |
Quadratic twists by: -4 8 |