Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49368w |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1985274409206528 = -1 · 28 · 34 · 117 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -4 3 11- 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16295,1983181] |
[a1,a2,a3,a4,a6] |
Generators |
[103:-2178:1] |
Generators of the group modulo torsion |
j |
1055028224/4377483 |
j-invariant |
L |
3.8271099727524 |
L(r)(E,1)/r! |
Ω |
0.33308143353186 |
Real period |
R |
0.71812580713053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98736be1 4488c1 |
Quadratic twists by: -4 -11 |