Atkin-Lehner |
2+ 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
11256a |
Isogeny class |
Conductor |
11256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-1103088 = -1 · 24 · 3 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 5 -5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-264,-1743] |
[a1,a2,a3,a4,a6] |
j |
-127661377792/68943 |
j-invariant |
L |
1.1839885541588 |
L(r)(E,1)/r! |
Ω |
0.59199427707942 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22512f1 90048d1 33768o1 78792e1 |
Quadratic twists by: -4 8 -3 -7 |