Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19152by |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
1621943011971072 = 212 · 311 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30315,-610598] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:1134:1] |
Generators of the group modulo torsion |
j |
1031831907625/543185433 |
j-invariant |
L |
5.0590916773478 |
L(r)(E,1)/r! |
Ω |
0.38374979721025 |
Real period |
R |
0.54930448977062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1197d1 76608eq1 6384be1 |
Quadratic twists by: -4 8 -3 |