Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120bh |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
36669429000000 = 26 · 313 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-603237,-180334784] |
[a1,a2,a3,a4,a6] |
j |
520331507252226496/785953125 |
j-invariant |
L |
1.0278478967971 |
L(r)(E,1)/r! |
Ω |
0.17130798279928 |
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 |
33120bk1 66240ei2 11040g1 |
Quadratic twists by: -4 8 -3 |