Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90576y |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-21907137429504 = -1 · 216 · 312 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -1 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1797,223274] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-486:1] |
Generators of the group modulo torsion |
j |
214921799/7336656 |
j-invariant |
L |
4.6747614987995 |
L(r)(E,1)/r! |
Ω |
0.51250224492444 |
Real period |
R |
1.1401807383954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11322o1 30192n1 |
Quadratic twists by: -4 -3 |