Atkin-Lehner |
2+ 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536k |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
-316333056 = -1 · 210 · 3 · 13 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-224,1476] |
[a1,a2,a3,a4,a6] |
Generators |
[18:60:1] |
Generators of the group modulo torsion |
j |
-1219284868/308919 |
j-invariant |
L |
6.5532711414107 |
L(r)(E,1)/r! |
Ω |
1.6361727431346 |
Real period |
R |
2.0026220241386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27768b1 |
Quadratic twists by: -4 |