Atkin-Lehner |
2+ 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168a |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-782418051072 = -1 · 222 · 34 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2303,-2303] |
[a1,a2,a3,a4,a6] |
Generators |
[3:68:1] |
Generators of the group modulo torsion |
j |
5150827583/2984688 |
j-invariant |
L |
6.8141383449491 |
L(r)(E,1)/r! |
Ω |
0.53270628924604 |
Real period |
R |
3.1978871295896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168do1 1974h1 |
Quadratic twists by: -4 8 |