Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4092d |
Isogeny class |
Conductor |
4092 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
77780736 = 28 · 34 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132,-360] |
[a1,a2,a3,a4,a6] |
j |
1001132368/303831 |
j-invariant |
L |
1.4407697924883 |
L(r)(E,1)/r! |
Ω |
1.4407697924883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16368u2 65472w2 12276b2 102300x2 |
Quadratic twists by: -4 8 -3 5 |