Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6650a |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-5320000000 = -1 · 29 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -5 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,433,-659] |
[a1,a2,a3,a4,a6] |
Generators |
[9:58:1] |
Generators of the group modulo torsion |
j |
573856191/340480 |
j-invariant |
L |
2.5841995775672 |
L(r)(E,1)/r! |
Ω |
0.79468517357189 |
Real period |
R |
1.6259266332804 |
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 |
53200cq1 59850ep1 1330h1 46550s1 |
Quadratic twists by: -4 -3 5 -7 |