Atkin-Lehner |
3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78585c |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-10941772651875 = -1 · 32 · 54 · 137 · 31 |
Discriminant |
Eigenvalues |
2 3+ 5+ -2 5 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1634,156561] |
[a1,a2,a3,a4,a6] |
Generators |
[1034:12671:8] |
Generators of the group modulo torsion |
j |
99897344/2266875 |
j-invariant |
L |
10.071372704424 |
L(r)(E,1)/r! |
Ω |
0.53888497451808 |
Real period |
R |
1.1680800608376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045d1 |
Quadratic twists by: 13 |