Atkin-Lehner |
2- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
23240g |
Isogeny class |
Conductor |
23240 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
213248 |
Modular degree for the optimal curve |
Δ |
-6644164940000000 = -1 · 28 · 57 · 7 · 834 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 3 -1 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12652,-3959804] |
[a1,a2,a3,a4,a6] |
Generators |
[192:830:1] |
Generators of the group modulo torsion |
j |
-874905801901056/25953769296875 |
j-invariant |
L |
3.4729115308215 |
L(r)(E,1)/r! |
Ω |
0.18329889242658 |
Real period |
R |
0.33833416293521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46480d1 116200c1 |
Quadratic twists by: -4 5 |