Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672bc |
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] |
j |
-4852224 |
j-invariant |
L |
4.8840180662451 |
L(r)(E,1)/r! |
Ω |
1.2210045165178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48672c1 97344s1 48672e1 48672f1 |
Quadratic twists by: -4 8 -3 13 |