Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384t |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-3599120317022208 = -1 · 231 · 36 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 11+ -1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38004,446704] |
[a1,a2,a3,a4,a6] |
j |
31764658463/18833408 |
j-invariant |
L |
2.1646100972038 |
L(r)(E,1)/r! |
Ω |
0.27057632830815 |
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 |
120384dv1 3762j1 13376h1 |
Quadratic twists by: -4 8 -3 |