Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768o |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
2 |
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] |
j |
110592/91 |
j-invariant |
L |
1.7845219269085 |
L(r)(E,1)/r! |
Ω |
0.89226096348461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768cn1 637d1 5824f1 |
Quadratic twists by: -4 8 -7 |