Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450cs |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1572864 |
Modular degree for the optimal curve |
Δ |
53617075200000000 = 216 · 36 · 58 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-355880,-80863253] |
[a1,a2,a3,a4,a6] |
j |
437608510454961/4707123200 |
j-invariant |
L |
6.2590144676898 |
L(r)(E,1)/r! |
Ω |
0.19559419950791 |
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 |
11050a1 19890h1 |
Quadratic twists by: -3 5 |