Atkin-Lehner |
2- 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282bs |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-9826461558144 = -1 · 27 · 39 · 7 · 11 · 373 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33926,-2401387] |
[a1,a2,a3,a4,a6] |
j |
-5923551325916953/13479371136 |
j-invariant |
L |
7.3863090433666 |
L(r)(E,1)/r! |
Ω |
0.17586450104736 |
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 |
17094n1 |
Quadratic twists by: -3 |