Atkin-Lehner |
2- 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46354t |
Isogeny class |
Conductor |
46354 |
Conductor |
∏ cp |
29 |
Product of Tamagawa factors cp |
deg |
993888 |
Modular degree for the optimal curve |
Δ |
1463913227984306176 = 229 · 78 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 11+ -3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2447241,-1471782007] |
[a1,a2,a3,a4,a6] |
j |
281170300917471777/253939941376 |
j-invariant |
L |
3.5006760957804 |
L(r)(E,1)/r! |
Ω |
0.12071296881104 |
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 |
46354x1 |
Quadratic twists by: -7 |