Atkin-Lehner |
2- 5+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350q |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-86781500000 = -1 · 25 · 56 · 133 · 79 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -3 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,645,-12853] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-2:1] |
Generators of the group modulo torsion |
j |
1902014919/5554016 |
j-invariant |
L |
7.5977419075999 |
L(r)(E,1)/r! |
Ω |
0.55212434548502 |
Real period |
R |
2.7521850719513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2054b1 |
Quadratic twists by: 5 |