Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710by |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
266240 |
Modular degree for the optimal curve |
Δ |
459856800000 = 28 · 32 · 55 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14116,-650587] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:37:1] |
Generators of the group modulo torsion |
j |
63316050955793/93600000 |
j-invariant |
L |
8.1376864829561 |
L(r)(E,1)/r! |
Ω |
0.43803623666424 |
Real period |
R |
2.3222069918776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112710dd1 |
Quadratic twists by: 17 |