Atkin-Lehner |
3+ 5- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
65565c |
Isogeny class |
Conductor |
65565 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-4477884609375 = -1 · 33 · 57 · 312 · 472 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3426,-67257] |
[a1,a2,a3,a4,a6] |
Generators |
[206:1447:8] |
Generators of the group modulo torsion |
j |
164683738345797/165847578125 |
j-invariant |
L |
9.6847425099056 |
L(r)(E,1)/r! |
Ω |
0.42137279089282 |
Real period |
R |
1.6416990775304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65565a1 |
Quadratic twists by: -3 |