Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ky |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
97584396675978240 = 210 · 34 · 5 · 712 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-166045,21212915] |
[a1,a2,a3,a4,a6] |
Generators |
[323:1176:1] |
Generators of the group modulo torsion |
j |
494428821070157824/95297262378885 |
j-invariant |
L |
8.8546065152636 |
L(r)(E,1)/r! |
Ω |
0.32000210489114 |
Real period |
R |
1.1529359711495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240bt1 28560l1 |
Quadratic twists by: -4 8 |