Atkin-Lehner |
2- 3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778bu |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
24993973567809792 = 28 · 38 · 75 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73355,805659] |
[a1,a2,a3,a4,a6] |
Generators |
[-223:2568:1] |
Generators of the group modulo torsion |
j |
59879725069515625/34285286101248 |
j-invariant |
L |
9.6251781837707 |
L(r)(E,1)/r! |
Ω |
0.32323093131764 |
Real period |
R |
0.18611264523284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926l1 |
Quadratic twists by: -3 |