Atkin-Lehner |
2- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
23360u |
Isogeny class |
Conductor |
23360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
7475200000 = 215 · 55 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -5 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4001,-95999] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:4:1] |
Generators of the group modulo torsion |
j |
216216072008/228125 |
j-invariant |
L |
2.3447713346573 |
L(r)(E,1)/r! |
Ω |
0.60031042162553 |
Real period |
R |
1.9529657075651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23360s1 11680c1 116800br1 |
Quadratic twists by: -4 8 5 |