Atkin-Lehner |
2+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5104a |
Isogeny class |
Conductor |
5104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-286558976 = -1 · 28 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 1 -3 4 11+ -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137,-1069] |
[a1,a2,a3,a4,a6] |
Generators |
[154:493:8] |
Generators of the group modulo torsion |
j |
-1118952448/1119371 |
j-invariant |
L |
4.0288802899636 |
L(r)(E,1)/r! |
Ω |
0.67026186336902 |
Real period |
R |
3.0054524284828 |
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 |
2552a1 20416h1 45936s1 127600d1 |
Quadratic twists by: -4 8 -3 5 |