Atkin-Lehner |
2- 3- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536bk |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-691980337152 = -1 · 217 · 33 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 3 -6 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5272,150932] |
[a1,a2,a3,a4,a6] |
Generators |
[44:78:1] |
Generators of the group modulo torsion |
j |
-3957057343513/168940512 |
j-invariant |
L |
9.4543529527906 |
L(r)(E,1)/r! |
Ω |
0.8976970080513 |
Real period |
R |
0.58509923281367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942b1 |
Quadratic twists by: -4 |