Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50184u |
Isogeny class |
Conductor |
50184 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-300737857536 = -1 · 211 · 36 · 173 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 4 1 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1227,31142] |
[a1,a2,a3,a4,a6] |
Generators |
[-90298:242098:2197] |
Generators of the group modulo torsion |
j |
-136835858/201433 |
j-invariant |
L |
8.1390428512587 |
L(r)(E,1)/r! |
Ω |
0.87275015037587 |
Real period |
R |
9.3257421356558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100368j1 5576e1 |
Quadratic twists by: -4 -3 |