Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
87856s |
Isogeny class |
Conductor |
87856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
2805610801752768512 = 216 · 179 · 192 |
Discriminant |
Eigenvalues |
2- 2 -2 0 -4 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-356144,14183360] |
[a1,a2,a3,a4,a6] |
Generators |
[-299502:6953734:729] |
Generators of the group modulo torsion |
j |
50529889873/28377488 |
j-invariant |
L |
7.8437220726571 |
L(r)(E,1)/r! |
Ω |
0.22003524039007 |
Real period |
R |
8.9118929914613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10982e1 5168i1 |
Quadratic twists by: -4 17 |