Atkin-Lehner |
2+ 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638i |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
29933568 |
Modular degree for the optimal curve |
Δ |
-2.359218590878E+24 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- -2 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-375498475,-2801540877563] |
[a1,a2,a3,a4,a6] |
Generators |
[37221:-5916667:1] |
Generators of the group modulo torsion |
j |
-49769124995742531362902521/20053027147515036416 |
j-invariant |
L |
1.9577005504144 |
L(r)(E,1)/r! |
Ω |
0.017147745057923 |
Real period |
R |
2.0386901190663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234b1 |
Quadratic twists by: -7 |