Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150s |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-17355937500 = -1 · 22 · 33 · 57 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-417,7241] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-77:1] |
Generators of the group modulo torsion |
j |
-19034163/41140 |
j-invariant |
L |
3.9479444163454 |
L(r)(E,1)/r! |
Ω |
1.0935825181219 |
Real period |
R |
0.45126274810673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150dt1 16830br1 |
Quadratic twists by: -3 5 |