Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768cn |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-685187776 = -1 · 26 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 0 -3 7- -6 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,196,686] |
[a1,a2,a3,a4,a6] |
Generators |
[7:49:1] |
Generators of the group modulo torsion |
j |
110592/91 |
j-invariant |
L |
2.2758703887592 |
L(r)(E,1)/r! |
Ω |
1.0415867980932 |
Real period |
R |
0.54625077644224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768o1 10192bh1 5824be1 |
Quadratic twists by: -4 8 -7 |