Atkin-Lehner |
2- 3+ 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
42330bc |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-2332890960000 = -1 · 27 · 3 · 54 · 17 · 833 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 1 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3150,-26433] |
[a1,a2,a3,a4,a6] |
Generators |
[107:-1299:1] |
Generators of the group modulo torsion |
j |
3456581144133599/2332890960000 |
j-invariant |
L |
7.6164470325497 |
L(r)(E,1)/r! |
Ω |
0.46450858121116 |
Real period |
R |
0.19519981363167 |
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 |
126990l1 |
Quadratic twists by: -3 |