Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032br |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13891584 |
Modular degree for the optimal curve |
Δ |
-3.6112108144743E+24 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-735330603,7675433067526] |
[a1,a2,a3,a4,a6] |
Generators |
[14896490:164923857:1000] |
Generators of the group modulo torsion |
j |
-5108928607403691602/419576389587 |
j-invariant |
L |
4.899359167 |
L(r)(E,1)/r! |
Ω |
0.0752810825256 |
Real period |
R |
2.7117033710762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344m1 67032co1 |
Quadratic twists by: -3 -7 |