Atkin-Lehner |
2+ 3+ 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310d |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-6489990000 = -1 · 24 · 33 · 54 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,336,-3152] |
[a1,a2,a3,a4,a6] |
Generators |
[12:44:1] |
Generators of the group modulo torsion |
j |
155113830117/240370000 |
j-invariant |
L |
5.3596739379598 |
L(r)(E,1)/r! |
Ω |
0.70606199054856 |
Real period |
R |
0.94886745245304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310bk1 |
Quadratic twists by: -3 |