Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168dk |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-86935339008 = -1 · 222 · 32 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 6 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1729,30527] |
[a1,a2,a3,a4,a6] |
j |
-2181825073/331632 |
j-invariant |
L |
4.1575389376464 |
L(r)(E,1)/r! |
Ω |
1.0393847338945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168l1 15792t1 |
Quadratic twists by: -4 8 |