Atkin-Lehner |
2+ 3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150bd |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
219271851562500 = 22 · 33 · 59 · 114 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15076,2798] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:182:1] |
Generators of the group modulo torsion |
j |
194003984069/112267188 |
j-invariant |
L |
4.7974244152993 |
L(r)(E,1)/r! |
Ω |
0.47362106740243 |
Real period |
R |
1.6882077136289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999956943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117150bq1 |
Quadratic twists by: 5 |