Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550ck |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-4287937500 = -1 · 22 · 34 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,112,-3108] |
[a1,a2,a3,a4,a6] |
j |
9938375/274428 |
j-invariant |
L |
5.3473660277664 |
L(r)(E,1)/r! |
Ω |
0.6684207534708 |
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 |
92400dt1 34650bi1 462a1 80850dy1 |
Quadratic twists by: -4 -3 5 -7 |