Atkin-Lehner |
5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4675b |
Isogeny class |
Conductor |
4675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-6222425 = -1 · 52 · 114 · 17 |
Discriminant |
Eigenvalues |
-1 -1 5+ -3 11+ 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,42,76] |
[a1,a2,a3,a4,a6] |
Generators |
[14:53:1] |
Generators of the group modulo torsion |
j |
327254135/248897 |
j-invariant |
L |
1.5814854399136 |
L(r)(E,1)/r! |
Ω |
1.526781259987 |
Real period |
R |
0.51791487142272 |
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 |
74800bv1 42075bl1 4675o1 51425q1 |
Quadratic twists by: -4 -3 5 -11 |