Atkin-Lehner |
3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565m |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
371712 |
Modular degree for the optimal curve |
Δ |
-1045401467776875 = -1 · 33 · 54 · 118 · 172 |
Discriminant |
Eigenvalues |
0 3+ 5- 3 11- 6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,23958,618582] |
[a1,a2,a3,a4,a6] |
Generators |
[242:-4538:1] |
Generators of the group modulo torsion |
j |
262766592/180625 |
j-invariant |
L |
7.2158482464313 |
L(r)(E,1)/r! |
Ω |
0.31051125171416 |
Real period |
R |
0.48413759840829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565i1 92565o1 |
Quadratic twists by: -3 -11 |