Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950dn |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-3877183173427200 = -1 · 219 · 36 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25160,-3360373] |
[a1,a2,a3,a4,a6] |
Generators |
[493:-10439:1] |
Generators of the group modulo torsion |
j |
-96643333791265/212739817472 |
j-invariant |
L |
8.3414290168185 |
L(r)(E,1)/r! |
Ω |
0.17744033886226 |
Real period |
R |
0.61854956805132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4550a1 40950co1 |
Quadratic twists by: -3 5 |