Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280eg |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-7.4030738665887E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,800052,-309032048] |
[a1,a2,a3,a4,a6] |
Generators |
[42311374:955514880:103823] |
Generators of the group modulo torsion |
j |
296354077829711/387386634240 |
j-invariant |
L |
5.7923942963762 |
L(r)(E,1)/r! |
Ω |
0.1035478896464 |
Real period |
R |
6.9924098855269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280bq1 22320bv1 29760cv1 |
Quadratic twists by: -4 8 -3 |