Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
29280s |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
7905600 = 26 · 34 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66,180] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] |
Generators of the group modulo torsion |
j |
504358336/123525 |
j-invariant |
L |
4.6056111583698 |
L(r)(E,1)/r! |
Ω |
2.1937144380375 |
Real period |
R |
1.0497289616442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29280y1 58560dw2 87840v1 |
Quadratic twists by: -4 8 -3 |