Atkin-Lehner |
3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11385n |
Isogeny class |
Conductor |
11385 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-77311379475 = -1 · 312 · 52 · 11 · 232 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11+ 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,-13365] |
[a1,a2,a3,a4,a6] |
j |
-24137569/106051275 |
j-invariant |
L |
1.9742072163148 |
L(r)(E,1)/r! |
Ω |
0.4935518040787 |
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 |
3795h2 56925l2 125235bt2 |
Quadratic twists by: -3 5 -11 |