Atkin-Lehner |
2- 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73080bc |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-3196519200000000 = -1 · 211 · 39 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 -1 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108363,13996838] |
[a1,a2,a3,a4,a6] |
Generators |
[2162:16875:8] |
Generators of the group modulo torsion |
j |
-94256061999122/2141015625 |
j-invariant |
L |
6.1739136140608 |
L(r)(E,1)/r! |
Ω |
0.44788951746251 |
Real period |
R |
1.7230570745559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24360i1 |
Quadratic twists by: -3 |