Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920cf |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-4722600960 = -1 · 210 · 32 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,259,2979] |
[a1,a2,a3,a4,a6] |
Generators |
[7:72:1] [55:432:1] |
Generators of the group modulo torsion |
j |
1869154304/4611915 |
j-invariant |
L |
11.328308630711 |
L(r)(E,1)/r! |
Ω |
0.95812423187447 |
Real period |
R |
5.9117117873377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920fc1 9240h1 |
Quadratic twists by: -4 8 |