Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672c |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-13625044992 = -1 · 212 · 39 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8424,-297648] |
[a1,a2,a3,a4,a6] |
Generators |
[2658:46359:8] |
Generators of the group modulo torsion |
j |
-4852224 |
j-invariant |
L |
5.6732046053087 |
L(r)(E,1)/r! |
Ω |
0.2491636016274 |
Real period |
R |
5.6922485550294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48672bc1 97344t1 48672bg1 48672bf1 |
Quadratic twists by: -4 8 -3 13 |