Atkin-Lehner |
2+ 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562q |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-7832492066873856 = -1 · 29 · 3 · 179 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 -3 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-598670,-178391488] |
[a1,a2,a3,a4,a6] |
Generators |
[9331039892334301830:656904724738751385989:1812010634299944] |
Generators of the group modulo torsion |
j |
-200098975049/66048 |
j-invariant |
L |
4.7717015943862 |
L(r)(E,1)/r! |
Ω |
0.085815190864564 |
Real period |
R |
27.80219647776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74562g1 |
Quadratic twists by: 17 |