Atkin-Lehner |
3- 7+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85491h |
Isogeny class |
Conductor |
85491 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
20774313 = 37 · 7 · 23 · 59 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5346,-149121] |
[a1,a2,a3,a4,a6] |
Generators |
[5182276146:490732063287:571787] |
Generators of the group modulo torsion |
j |
23180817201697/28497 |
j-invariant |
L |
9.4109774990519 |
L(r)(E,1)/r! |
Ω |
0.55832688413745 |
Real period |
R |
16.855676779323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28497e1 |
Quadratic twists by: -3 |