Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560v |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
2627045723250000 = 24 · 314 · 56 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58231,-4833100] |
[a1,a2,a3,a4,a6] |
Generators |
[4112:263250:1] |
Generators of the group modulo torsion |
j |
621217777580032/74733890625 |
j-invariant |
L |
6.5868052759215 |
L(r)(E,1)/r! |
Ω |
0.30975304348449 |
Real period |
R |
1.5189070810872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280f1 121680bz1 40560be1 |
Quadratic twists by: -4 -3 13 |