Atkin-Lehner |
2+ 3+ 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470p |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-208187797500 = -1 · 22 · 32 · 54 · 194 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,203,22009] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:146:1] |
Generators of the group modulo torsion |
j |
918046641959/208187797500 |
j-invariant |
L |
4.6649574588534 |
L(r)(E,1)/r! |
Ω |
0.77392859741354 |
Real period |
R |
0.37672705486354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410z1 |
Quadratic twists by: -3 |