Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920cc |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
85571640000 = 26 · 34 · 54 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1596,-20646] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:12:1] [69:450:1] |
Generators of the group modulo torsion |
j |
7029338948416/1337056875 |
j-invariant |
L |
11.53324594281 |
L(r)(E,1)/r! |
Ω |
0.76526248417842 |
Real period |
R |
3.7677418471825 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920r1 36960m3 |
Quadratic twists by: -4 8 |