Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900dl |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-937605745494000 = -1 · 24 · 37 · 53 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19965,1830125] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1089:1] |
Generators of the group modulo torsion |
j |
-2816/3 |
j-invariant |
L |
7.4444005850207 |
L(r)(E,1)/r! |
Ω |
0.45116301061433 |
Real period |
R |
0.45834631863418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36300ba1 108900dp1 108900dq1 |
Quadratic twists by: -3 5 -11 |