Atkin-Lehner |
2+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696g |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
-3564544 = -1 · 210 · 592 |
Discriminant |
Eigenvalues |
2+ -2 -1 -4 0 5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-216,1156] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-2:1] [0:34:1] |
Generators of the group modulo torsion |
j |
-314116 |
j-invariant |
L |
6.1745302742645 |
L(r)(E,1)/r! |
Ω |
2.5077582838719 |
Real period |
R |
1.2310856101987 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27848d1 55696h1 |
Quadratic twists by: -4 -59 |