Atkin-Lehner |
2- 3- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290cq |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
443904 |
Modular degree for the optimal curve |
Δ |
-12490968268800 = -1 · 217 · 38 · 52 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 0 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-502637,-137035051] |
[a1,a2,a3,a4,a6] |
j |
-19264544181973060489/17134387200 |
j-invariant |
L |
6.0962799509448 |
L(r)(E,1)/r! |
Ω |
0.089651175770597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430n1 |
Quadratic twists by: -3 |