Atkin-Lehner |
2+ 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474h |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
1044156606734592 = 28 · 33 · 132 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -6 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66672,-6424576] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:487:1] |
Generators of the group modulo torsion |
j |
25803133875/822016 |
j-invariant |
L |
3.6662097583993 |
L(r)(E,1)/r! |
Ω |
0.29768761714635 |
Real period |
R |
3.0789068348773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84474bm1 4446l1 |
Quadratic twists by: -3 -19 |