Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050dz |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
5391360 |
Modular degree for the optimal curve |
Δ |
2.2553322974208E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 3 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3758930,-1626256303] |
[a1,a2,a3,a4,a6] |
Generators |
[-1631:13615:1] |
Generators of the group modulo torsion |
j |
682724835/262144 |
j-invariant |
L |
9.6758031806581 |
L(r)(E,1)/r! |
Ω |
0.11200332051296 |
Real period |
R |
2.3996816288674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987626 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76050v2 76050j1 76050u1 |
Quadratic twists by: -3 5 13 |