Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103968bp |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-20480864256 = -1 · 212 · 36 · 193 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 -1 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,456,-5776] |
[a1,a2,a3,a4,a6] |
Generators |
[76:684:1] |
Generators of the group modulo torsion |
j |
512 |
j-invariant |
L |
4.4415846376423 |
L(r)(E,1)/r! |
Ω |
0.63386202711351 |
Real period |
R |
0.87589736885153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999629262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968bo1 11552b1 103968r1 |
Quadratic twists by: -4 -3 -19 |