Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900s |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
16442300531250000 = 24 · 33 · 59 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-181500,29115625] |
[a1,a2,a3,a4,a6] |
j |
442368/11 |
j-invariant |
L |
2.3411398787496 |
L(r)(E,1)/r! |
Ω |
0.39018988128613 |
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 |
108900t1 108900r1 9900c1 |
Quadratic twists by: -3 5 -11 |