Atkin-Lehner |
2- 3- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536bj |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-86497542144 = -1 · 214 · 33 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 3 13- -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-936,-18252] |
[a1,a2,a3,a4,a6] |
Generators |
[78:-624:1] |
Generators of the group modulo torsion |
j |
-22164361129/21117564 |
j-invariant |
L |
6.1253199585766 |
L(r)(E,1)/r! |
Ω |
0.41535081894807 |
Real period |
R |
0.40964834752746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942a1 |
Quadratic twists by: -4 |