Atkin-Lehner |
2+ 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010s |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
835584 |
Modular degree for the optimal curve |
Δ |
574042939787520 = 28 · 38 · 5 · 77 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24134,866072] |
[a1,a2,a3,a4,a6] |
Generators |
[165:1093:1] |
Generators of the group modulo torsion |
j |
13212881163721/4879284480 |
j-invariant |
L |
4.0723262147534 |
L(r)(E,1)/r! |
Ω |
0.47291768712717 |
Real period |
R |
0.53819173110414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430i1 |
Quadratic twists by: -7 |