Atkin-Lehner |
2+ 3- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158l |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-1171221148188 = -1 · 22 · 36 · 73 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1623,-45991] |
[a1,a2,a3,a4,a6] |
Generators |
[61:496:1] |
Generators of the group modulo torsion |
j |
648337611375/1606613372 |
j-invariant |
L |
5.2532388131473 |
L(r)(E,1)/r! |
Ω |
0.44751784453911 |
Real period |
R |
1.4673266321892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7462h1 |
Quadratic twists by: -3 |