Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544bq |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5412418486272 = 219 · 36 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4716,-54864] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:224:1] |
Generators of the group modulo torsion |
j |
60698457/28322 |
j-invariant |
L |
4.9576633107893 |
L(r)(E,1)/r! |
Ω |
0.60267934857174 |
Real period |
R |
1.0282547680305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544ev2 2142p2 7616a2 |
Quadratic twists by: -4 8 -3 |