Atkin-Lehner |
2+ 3- 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290be |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-201727917720 = -1 · 23 · 311 · 5 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 -1 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1944,39928] |
[a1,a2,a3,a4,a6] |
Generators |
[29:71:1] |
Generators of the group modulo torsion |
j |
-1114835073409/276718680 |
j-invariant |
L |
4.8856007484713 |
L(r)(E,1)/r! |
Ω |
0.95581668412198 |
Real period |
R |
2.5557205841054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999744 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430s1 |
Quadratic twists by: -3 |