Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103968bn |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
536256 |
Modular degree for the optimal curve |
Δ |
-6339080937927168 = -1 · 29 · 36 · 198 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 3 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61731,-7037334] |
[a1,a2,a3,a4,a6] |
Generators |
[1341681913214967091361650:10017971825484787609598036:4209638406183601694659] |
Generators of the group modulo torsion |
j |
-4104 |
j-invariant |
L |
5.8824906158445 |
L(r)(E,1)/r! |
Ω |
0.14951844719969 |
Real period |
R |
39.342908691314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968p1 11552d1 103968y1 |
Quadratic twists by: -4 -3 -19 |