Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850cq |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
126748678500000000 = 28 · 314 · 59 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203751005,-1119381151003] |
[a1,a2,a3,a4,a6] |
j |
82125009821717833875841/11127456000 |
j-invariant |
L |
5.1148698172485 |
L(r)(E,1)/r! |
Ω |
0.039959920447254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7950m1 4770h1 |
Quadratic twists by: -3 5 |