Atkin-Lehner |
2- 3- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650cu |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
1620 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-1.5065369623941E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-248963,-192789183] |
[a1,a2,a3,a4,a6] |
Generators |
[1582:-58871:1] |
Generators of the group modulo torsion |
j |
-2730538029603868225/24104591398305792 |
j-invariant |
L |
12.043466224654 |
L(r)(E,1)/r! |
Ω |
0.093646983473584 |
Real period |
R |
0.71447197986475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000268 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67650i1 |
Quadratic twists by: 5 |