Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280b |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
1.840582464897E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7590348,-4709558672] |
[a1,a2,a3,a4,a6] |
Generators |
[16773675345339738:-9233491245897089024:55349900731] |
Generators of the group modulo torsion |
j |
6832900384593441003/2600468480000000 |
j-invariant |
L |
4.1022361947936 |
L(r)(E,1)/r! |
Ω |
0.093916793951518 |
Real period |
R |
21.839737157294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280df1 2790c1 89280n1 |
Quadratic twists by: -4 8 -3 |