Atkin-Lehner |
2- 3- 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158bp |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
233954832384 = 212 · 37 · 72 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -5 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1544,-1461] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-279:1] [-31:141:1] |
Generators of the group modulo torsion |
j |
558051585337/320925696 |
j-invariant |
L |
12.124162720273 |
L(r)(E,1)/r! |
Ω |
0.8282432881587 |
Real period |
R |
0.1524834109436 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386a1 |
Quadratic twists by: -3 |