Atkin-Lehner |
7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56749c |
Isogeny class |
Conductor |
56749 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
20188800 |
Modular degree for the optimal curve |
Δ |
-4.1947698546222E+26 |
Discriminant |
Eigenvalues |
1 0 -2 7- 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,118735402,-850335497841] |
[a1,a2,a3,a4,a6] |
Generators |
[25314074747866369814:2052478014124870916833:3609317752486984] |
Generators of the group modulo torsion |
j |
104498072547106119367023/236783822550971263183 |
j-invariant |
L |
5.3712700188435 |
L(r)(E,1)/r! |
Ω |
0.027522401996061 |
Real period |
R |
19.51599289722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5159d1 |
Quadratic twists by: -11 |