Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840l |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-1438717075200 = -1 · 28 · 314 · 52 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2553,29414] |
[a1,a2,a3,a4,a6] |
Generators |
[53:560:1] |
Generators of the group modulo torsion |
j |
9860720816/7709175 |
j-invariant |
L |
6.5928870805989 |
L(r)(E,1)/r! |
Ω |
0.54734699608748 |
Real period |
R |
3.0112922550618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16920h1 11280c1 |
Quadratic twists by: -4 -3 |