Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
89460g |
Isogeny class |
Conductor |
89460 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
-6820121941920000 = -1 · 28 · 36 · 54 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 3 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6010023,5671036222] |
[a1,a2,a3,a4,a6] |
Generators |
[1671:17150:1] |
Generators of the group modulo torsion |
j |
-128642544175666893136/36544720625 |
j-invariant |
L |
6.8936161074812 |
L(r)(E,1)/r! |
Ω |
0.33733642925327 |
Real period |
R |
0.48655793569503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9940d1 |
Quadratic twists by: -3 |