Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672bb |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1027585778012352 = -1 · 26 · 39 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13689,-1660932] |
[a1,a2,a3,a4,a6] |
j |
-46656/169 |
j-invariant |
L |
3.2368280728793 |
L(r)(E,1)/r! |
Ω |
0.20230175458342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48672a1 97344n2 48672d1 3744b1 |
Quadratic twists by: -4 8 -3 13 |