Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560dz |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-74115000000 = -1 · 26 · 35 · 57 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5875,171875] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-75:1] |
Generators of the group modulo torsion |
j |
-350462271384064/1158046875 |
j-invariant |
L |
8.8925469047852 |
L(r)(E,1)/r! |
Ω |
1.0952892261733 |
Real period |
R |
0.23196865507264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560cw1 29280a1 |
Quadratic twists by: -4 8 |