Atkin-Lehner |
2- 3+ 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650cu |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
244800 |
Modular degree for the optimal curve |
Δ |
-1411706880000 = -1 · 215 · 34 · 54 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 -3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1412,53981] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:153:1] |
Generators of the group modulo torsion |
j |
498113785775/2258731008 |
j-invariant |
L |
12.072913897955 |
L(r)(E,1)/r! |
Ω |
0.61143028366722 |
Real period |
R |
0.65817881860036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650bb1 |
Quadratic twists by: 5 |