Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384v |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-3834290110464 = -1 · 223 · 37 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 11+ 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3756,129328] |
[a1,a2,a3,a4,a6] |
j |
-30664297/20064 |
j-invariant |
L |
2.9004501315242 |
L(r)(E,1)/r! |
Ω |
0.72511269061081 |
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 |
120384dx1 3762r1 40128bb1 |
Quadratic twists by: -4 8 -3 |