Atkin-Lehner |
3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
53235bh |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-9.6651667634563E+18 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,528516,22273083] |
[a1,a2,a3,a4,a6] |
j |
2111932187/1250235 |
j-invariant |
L |
4.481217958168 |
L(r)(E,1)/r! |
Ω |
0.14003806123319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745p1 53235y1 |
Quadratic twists by: -3 13 |