Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103968f |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
8640364608 = 26 · 39 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1425,-20216] |
[a1,a2,a3,a4,a6] |
j |
1000000/27 |
j-invariant |
L |
3.1133051062075 |
L(r)(E,1)/r! |
Ω |
0.77832635933725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103968g1 34656y1 103968bh1 |
Quadratic twists by: -4 -3 -19 |