Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6192a |
Isogeny class |
Conductor |
6192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
297216 = 28 · 33 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39,-90] |
[a1,a2,a3,a4,a6] |
Generators |
[13:40:1] |
Generators of the group modulo torsion |
j |
949104/43 |
j-invariant |
L |
4.0515595602032 |
L(r)(E,1)/r! |
Ω |
1.9157964512498 |
Real period |
R |
2.1148173427089 |
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 |
3096b1 24768bs1 6192b1 |
Quadratic twists by: -4 8 -3 |