Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714i |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
233856 |
Modular degree for the optimal curve |
Δ |
-1636694731152 = -1 · 24 · 36 · 134 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 -4 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38310,2896388] |
[a1,a2,a3,a4,a6] |
Generators |
[104:118:1] |
Generators of the group modulo torsion |
j |
-298652123601/78608 |
j-invariant |
L |
6.3089072290036 |
L(r)(E,1)/r! |
Ω |
0.82283276715104 |
Real period |
R |
1.2778836479851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5746i1 51714z1 |
Quadratic twists by: -3 13 |