Atkin-Lehner |
2+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400w |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1623076000000000 = -1 · 211 · 59 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21208,2280912] |
[a1,a2,a3,a4,a6] |
Generators |
[2262:28126:27] |
Generators of the group modulo torsion |
j |
-263744458/405769 |
j-invariant |
L |
8.147958006923 |
L(r)(E,1)/r! |
Ω |
0.42585325082734 |
Real period |
R |
4.7833132605501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18200l2 36400y2 |
Quadratic twists by: -4 5 |