Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032g |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
3.9051026305529E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3197691,-2180280186] |
[a1,a2,a3,a4,a6] |
Generators |
[-1106:1862:1] |
Generators of the group modulo torsion |
j |
1524943337004/16468459 |
j-invariant |
L |
3.6189422549313 |
L(r)(E,1)/r! |
Ω |
0.11297277110837 |
Real period |
R |
2.6694797183956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67032bn1 9576d1 |
Quadratic twists by: -3 -7 |