Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
41454i |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
68544 |
Modular degree for the optimal curve |
Δ |
-1580155013304 = -1 · 23 · 36 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -3 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2637,-31347] |
[a1,a2,a3,a4,a6] |
Generators |
[198:1665:8] |
Generators of the group modulo torsion |
j |
482447/376 |
j-invariant |
L |
5.2326424103138 |
L(r)(E,1)/r! |
Ω |
0.47074746482771 |
Real period |
R |
1.8526006692472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4606h1 41454u1 |
Quadratic twists by: -3 -7 |