Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560bp |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
-4419256320 = -1 · 215 · 36 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -5 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,6352] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:108:1] [2:72:1] |
Generators of the group modulo torsion |
j |
-941192/185 |
j-invariant |
L |
8.9568038463632 |
L(r)(E,1)/r! |
Ω |
1.3230511844525 |
Real period |
R |
0.84622612792015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560bn1 53280cd1 11840m1 |
Quadratic twists by: -4 8 -3 |