Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960y |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
12529147904000 = 216 · 53 · 76 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25496,1549204] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:1568:1] |
Generators of the group modulo torsion |
j |
3803721481/26000 |
j-invariant |
L |
4.2211508523544 |
L(r)(E,1)/r! |
Ω |
0.71515205974592 |
Real period |
R |
1.475613051398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370c1 1040g1 |
Quadratic twists by: -4 -7 |