Atkin-Lehner |
3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
116487i |
Isogeny class |
Conductor |
116487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-1217172663 = -1 · 37 · 7 · 433 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40,-1686] |
[a1,a2,a3,a4,a6] |
Generators |
[12:14:1] |
Generators of the group modulo torsion |
j |
125/21 |
j-invariant |
L |
4.3864569352244 |
L(r)(E,1)/r! |
Ω |
0.72513740363482 |
Real period |
R |
3.0245694707144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38829c1 116487f1 |
Quadratic twists by: -3 -43 |