Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18050a |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
114912 |
Modular degree for the optimal curve |
Δ |
-2653681725156250 = -1 · 2 · 57 · 198 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 5 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-182192,30080466] |
[a1,a2,a3,a4,a6] |
Generators |
[-451:4738:1] |
Generators of the group modulo torsion |
j |
-2520369/10 |
j-invariant |
L |
3.4537794035364 |
L(r)(E,1)/r! |
Ω |
0.45741890570278 |
Real period |
R |
0.62921524822526 |
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 |
3610f1 18050r1 |
Quadratic twists by: 5 -19 |