Atkin-Lehner |
5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116365b |
Isogeny class |
Conductor |
116365 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.3927755947968E+26 |
Discriminant |
Eigenvalues |
1 0 5+ -4 4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-607968365,-5837425421950] |
[a1,a2,a3,a4,a6] |
Generators |
[37202119990988999546020886165600724497550785858051976986051082:7522560794020645960889448087289441163708136784630721543551013554:685442651311628513244314771242960772354463765487948319391] |
Generators of the group modulo torsion |
j |
-9686264265850369562721/132234504150390625 |
j-invariant |
L |
5.452658063972 |
L(r)(E,1)/r! |
Ω |
0.015189609723124 |
Real period |
R |
89.743221902388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3145c4 |
Quadratic twists by: 37 |