Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18513m |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-342901869343300971 = -1 · 36 · 117 · 176 |
Discriminant |
Eigenvalues |
0 3- -3 -2 11- -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-108174,-31325418] |
[a1,a2,a3,a4,a6] |
Generators |
[36036:594441:64] |
Generators of the group modulo torsion |
j |
-108394872832/265513259 |
j-invariant |
L |
2.1643797655837 |
L(r)(E,1)/r! |
Ω |
0.1227036798364 |
Real period |
R |
2.2048847358016 |
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 |
2057e2 1683h2 |
Quadratic twists by: -3 -11 |