Atkin-Lehner |
2- 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53998n |
Isogeny class |
Conductor |
53998 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2568193996148816 = -1 · 24 · 76 · 196 · 29 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -3 1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2638847,1648847157] |
[a1,a2,a3,a4,a6] |
Generators |
[805:-7262:1] [937:-518:1] |
Generators of the group modulo torsion |
j |
-17273411298654994657/21829288784 |
j-invariant |
L |
9.7894282070019 |
L(r)(E,1)/r! |
Ω |
0.38626978024101 |
Real period |
R |
1.5839687550915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1102e2 |
Quadratic twists by: -7 |