Atkin-Lehner |
2- 3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
23904p |
Isogeny class |
Conductor |
23904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
104556096 = 26 · 39 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-729,-7560] |
[a1,a2,a3,a4,a6] |
Generators |
[68484:4590:2197] |
Generators of the group modulo torsion |
j |
34012224/83 |
j-invariant |
L |
6.7328485780099 |
L(r)(E,1)/r! |
Ω |
0.91892773499093 |
Real period |
R |
7.3268531589988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23904o1 47808be1 23904a1 |
Quadratic twists by: -4 8 -3 |