Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472y |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-4499201580859392 = -1 · 242 · 3 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86017,10203743] |
[a1,a2,a3,a4,a6] |
Generators |
[15208882416584:316870950790335:173367742976] |
Generators of the group modulo torsion |
j |
-268498407453697/17163091968 |
j-invariant |
L |
9.7308984657066 |
L(r)(E,1)/r! |
Ω |
0.4289461051614 |
Real period |
R |
22.685596975021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bj1 2046g1 |
Quadratic twists by: -4 8 |