Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800bg |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-9721600000000 = -1 · 214 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 -6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4592,-88812] |
[a1,a2,a3,a4,a6] |
Generators |
[28:250:1] |
Generators of the group modulo torsion |
j |
167284151/151900 |
j-invariant |
L |
4.1347918305958 |
L(r)(E,1)/r! |
Ω |
0.3984739445923 |
Real period |
R |
1.2970709526515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10850y1 17360y1 |
Quadratic twists by: -4 5 |