Atkin-Lehner |
2+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11552c |
Isogeny class |
Conductor |
11552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-28094464 = -1 · 212 · 193 |
Discriminant |
Eigenvalues |
2+ -2 3 3 -1 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51,-197] |
[a1,a2,a3,a4,a6] |
Generators |
[6:19:1] |
Generators of the group modulo torsion |
j |
512 |
j-invariant |
L |
4.3150282718993 |
L(r)(E,1)/r! |
Ω |
1.0978812359492 |
Real period |
R |
0.9825808408522 |
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 |
11552b1 23104be1 103968bo1 11552o1 |
Quadratic twists by: -4 8 -3 -19 |