Atkin-Lehner |
3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53067f |
Isogeny class |
Conductor |
53067 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
139130802761191353 = 33 · 78 · 197 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -2 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-230325,-38672136] |
[a1,a2,a3,a4,a6] |
Generators |
[-340:862:1] |
Generators of the group modulo torsion |
j |
244140625/25137 |
j-invariant |
L |
5.14308541515 |
L(r)(E,1)/r! |
Ω |
0.2193770749346 |
Real period |
R |
5.8610105644045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7581f1 2793i1 |
Quadratic twists by: -7 -19 |