Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920dc |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-377808076800 = -1 · 214 · 32 · 52 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1455,20943] |
[a1,a2,a3,a4,a6] |
Generators |
[51:480:1] |
Generators of the group modulo torsion |
j |
20777545136/23059575 |
j-invariant |
L |
8.3302573651775 |
L(r)(E,1)/r! |
Ω |
0.63302472516651 |
Real period |
R |
1.6449312787783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998149 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920fy1 9240q1 |
Quadratic twists by: -4 8 |