Atkin-Lehner |
2+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
82880o |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-1815403520 = -1 · 210 · 5 · 7 · 373 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 4 6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60865,-5759383] |
[a1,a2,a3,a4,a6] |
Generators |
[539651808:16623778285:531441] |
Generators of the group modulo torsion |
j |
-24351951486578944/1772855 |
j-invariant |
L |
6.1257335624016 |
L(r)(E,1)/r! |
Ω |
0.15197671604363 |
Real period |
R |
13.435684365118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880bu1 10360g1 |
Quadratic twists by: -4 8 |