Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350br |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
2219520000 = 212 · 3 · 54 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1001,-12052] |
[a1,a2,a3,a4,a6] |
Generators |
[-519:598:27] |
Generators of the group modulo torsion |
j |
613231225/12288 |
j-invariant |
L |
4.7813914283161 |
L(r)(E,1)/r! |
Ω |
0.84990800450768 |
Real period |
R |
2.8128876319318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350cc1 43350y1 |
Quadratic twists by: 5 17 |