Atkin-Lehner |
5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56615b |
Isogeny class |
Conductor |
56615 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-853968098546875 = -1 · 56 · 138 · 67 |
Discriminant |
Eigenvalues |
0 -2 5+ 4 0 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-871251,312726405] |
[a1,a2,a3,a4,a6] |
Generators |
[537:-85:1] |
Generators of the group modulo torsion |
j |
-15152837487394816/176921875 |
j-invariant |
L |
3.0777690545215 |
L(r)(E,1)/r! |
Ω |
0.45427739258031 |
Real period |
R |
1.6937718587463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4355c1 |
Quadratic twists by: 13 |