Atkin-Lehner |
3+ 7- 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42441b |
Isogeny class |
Conductor |
42441 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-166258500723 = -1 · 36 · 74 · 43 · 472 |
Discriminant |
Eigenvalues |
0 3+ -2 7- -5 1 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-679,20994] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:94:1] [-18:164:1] |
Generators of the group modulo torsion |
j |
-34671488499712/166258500723 |
j-invariant |
L |
5.7129942726479 |
L(r)(E,1)/r! |
Ω |
0.88540330363161 |
Real period |
R |
0.40327627034584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127323g1 |
Quadratic twists by: -3 |