Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ex |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-3240958156800000000 = -1 · 219 · 3 · 58 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,111792,85374912] |
[a1,a2,a3,a4,a6] |
j |
96567729935/2025598848 |
j-invariant |
L |
3.0126791765028 |
L(r)(E,1)/r! |
Ω |
0.18829247949251 |
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 |
13650da1 109200fq1 |
Quadratic twists by: -4 5 |