Atkin-Lehner |
2- 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256ck |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
881280 |
Modular degree for the optimal curve |
Δ |
321776309317501584 = 24 · 33 · 79 · 13 · 175 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -4 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-404810,95168931] |
[a1,a2,a3,a4,a6] |
Generators |
[1713:225487:27] |
Generators of the group modulo torsion |
j |
458520227545503997696/20111019332343849 |
j-invariant |
L |
7.7366801516656 |
L(r)(E,1)/r! |
Ω |
0.30208019936513 |
Real period |
R |
8.537114941869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564e1 |
Quadratic twists by: -4 |