Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
49056m |
Isogeny class |
Conductor |
49056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-451217088 = -1 · 26 · 33 · 72 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-134,-1140] |
[a1,a2,a3,a4,a6] |
Generators |
[43:266:1] |
Generators of the group modulo torsion |
j |
-4188852928/7050267 |
j-invariant |
L |
3.9086834332886 |
L(r)(E,1)/r! |
Ω |
0.66298986254106 |
Real period |
R |
2.9477701350732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49056f1 98112z2 |
Quadratic twists by: -4 8 |