Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200ct |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-243880243200 = -1 · 212 · 39 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- 5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1080,-19440] |
[a1,a2,a3,a4,a6] |
Generators |
[16:44:1] |
Generators of the group modulo torsion |
j |
69120/121 |
j-invariant |
L |
6.2798304965846 |
L(r)(E,1)/r! |
Ω |
0.51848806318278 |
Real period |
R |
1.5139766330839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200c1 79200d1 79200p1 |
Quadratic twists by: -4 -3 5 |