Atkin-Lehner |
2- 3+ 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450bv |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1676101680000 = -1 · 27 · 33 · 54 · 114 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2562,38331] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:125:1] |
Generators of the group modulo torsion |
j |
2975572088975/2681762688 |
j-invariant |
L |
8.0795771582125 |
L(r)(E,1)/r! |
Ω |
0.54887665886285 |
Real period |
R |
1.0514432428417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450w1 |
Quadratic twists by: 5 |