Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200cl |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-22170931200 = -1 · 212 · 39 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ 2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-540,8640] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:116:1] [-6:108:1] |
Generators of the group modulo torsion |
j |
-8640/11 |
j-invariant |
L |
10.607818337407 |
L(r)(E,1)/r! |
Ω |
1.089698685903 |
Real period |
R |
1.2168293027515 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200cr1 79200h1 79200m1 |
Quadratic twists by: -4 -3 5 |