Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11856i |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-46292653056 = -1 · 210 · 3 · 133 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 2 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2640,52356] |
[a1,a2,a3,a4,a6] |
j |
-1987925163844/45207669 |
j-invariant |
L |
2.2670428502929 |
L(r)(E,1)/r! |
Ω |
1.1335214251465 |
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 |
5928k1 47424cp1 35568h1 |
Quadratic twists by: -4 8 -3 |