Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920fb |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
13970880 = 26 · 34 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3596,84210] |
[a1,a2,a3,a4,a6] |
Generators |
[39:42:1] [179:2268:1] |
Generators of the group modulo torsion |
j |
80375475140416/218295 |
j-invariant |
L |
8.6138375157237 |
L(r)(E,1)/r! |
Ω |
1.9353188684846 |
Real period |
R |
4.4508621582124 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gl1 36960bw4 |
Quadratic twists by: -4 8 |