Atkin-Lehner |
2- 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17940k |
Isogeny class |
Conductor |
17940 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-194039040 = -1 · 28 · 3 · 5 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 1 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,140,260] |
[a1,a2,a3,a4,a6] |
Generators |
[4:30:1] |
Generators of the group modulo torsion |
j |
1176960944/757965 |
j-invariant |
L |
5.9465140827211 |
L(r)(E,1)/r! |
Ω |
1.1166545431515 |
Real period |
R |
1.7750981026887 |
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 |
71760be1 53820h1 89700h1 |
Quadratic twists by: -4 -3 5 |