Atkin-Lehner |
2- 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
99280p |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
13826129920 = 217 · 5 · 172 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -1 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6736,214976] |
[a1,a2,a3,a4,a6] |
Generators |
[88:544:1] |
Generators of the group modulo torsion |
j |
8253429989329/3375520 |
j-invariant |
L |
5.432392575344 |
L(r)(E,1)/r! |
Ω |
1.2337183850743 |
Real period |
R |
0.55040848913368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410l1 |
Quadratic twists by: -4 |