Atkin-Lehner |
2- 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70992s |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-39062252646825984 = -1 · 218 · 36 · 172 · 294 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6261,9507130] |
[a1,a2,a3,a4,a6] |
Generators |
[1131903:44715970:729] |
Generators of the group modulo torsion |
j |
9090072503/13081869376 |
j-invariant |
L |
8.8509728558714 |
L(r)(E,1)/r! |
Ω |
0.28487203266404 |
Real period |
R |
7.7674989472713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8874i2 7888i2 |
Quadratic twists by: -4 -3 |