Atkin-Lehner |
2+ 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450p |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
214468300800000000 = 218 · 36 · 58 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-501192,134865216] |
[a1,a2,a3,a4,a6] |
j |
1222331589867961/18828492800 |
j-invariant |
L |
1.2656249644537 |
L(r)(E,1)/r! |
Ω |
0.31640629035089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11050m1 19890ba1 |
Quadratic twists by: -3 5 |