Atkin-Lehner |
5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
67915q |
Isogeny class |
Conductor |
67915 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
252928 |
Modular degree for the optimal curve |
Δ |
4239381640625 = 58 · 173 · 472 |
Discriminant |
Eigenvalues |
-1 -2 5- -2 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-138080,-19760225] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:120:1] |
Generators of the group modulo torsion |
j |
59261068768881617/862890625 |
j-invariant |
L |
1.8392714537049 |
L(r)(E,1)/r! |
Ω |
0.24766647510498 |
Real period |
R |
0.92830057748223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67915e1 |
Quadratic twists by: 17 |