Atkin-Lehner |
2- 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10998o |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-240112387554803712 = -1 · 221 · 38 · 135 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 2 6 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,44572,-23307001] |
[a1,a2,a3,a4,a6] |
j |
13433577463965959/329372273737728 |
j-invariant |
L |
6.3610578958603 |
L(r)(E,1)/r! |
Ω |
0.15145375942525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87984be1 3666h1 |
Quadratic twists by: -4 -3 |