Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170x |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
538560 |
Modular degree for the optimal curve |
Δ |
-5.4571533519888E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 0 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-205728,357212398] |
[a1,a2,a3,a4,a6] |
Generators |
[-391:19635:1] |
Generators of the group modulo torsion |
j |
-401059427678785561/22728668688000000 |
j-invariant |
L |
4.7495796900392 |
L(r)(E,1)/r! |
Ω |
0.16466983792092 |
Real period |
R |
0.14138747979897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360eo1 48510cn1 80850dn1 16170b1 |
Quadratic twists by: -4 -3 5 -7 |