Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208p |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-97140736 = -1 · 214 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 2 -3 7+ 11- -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-337,-2319] |
[a1,a2,a3,a4,a6] |
j |
-2141392/49 |
j-invariant |
L |
2.2249841902883 |
L(r)(E,1)/r! |
Ω |
0.55624604751628 |
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 |
54208de1 3388c1 54208bl1 |
Quadratic twists by: -4 8 -11 |