Atkin-Lehner |
2+ 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010t |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2472960 |
Modular degree for the optimal curve |
Δ |
-461582211569062500 = -1 · 22 · 32 · 57 · 711 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-175054,-43179244] |
[a1,a2,a3,a4,a6] |
Generators |
[14493:105979:27] |
Generators of the group modulo torsion |
j |
-5042524562477641/3923384062500 |
j-invariant |
L |
5.9571649599665 |
L(r)(E,1)/r! |
Ω |
0.11291584379861 |
Real period |
R |
6.5946955192867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000145582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430j1 |
Quadratic twists by: -7 |