Atkin-Lehner |
2+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23650b |
Isogeny class |
Conductor |
23650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-157390750000000 = -1 · 27 · 59 · 114 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 11+ -1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11942,-782284] |
[a1,a2,a3,a4,a6] |
Generators |
[1382:11409:8] |
Generators of the group modulo torsion |
j |
-12054670471089/10073008000 |
j-invariant |
L |
2.5318516666096 |
L(r)(E,1)/r! |
Ω |
0.22054796968518 |
Real period |
R |
2.8699557631654 |
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 |
4730d1 |
Quadratic twists by: 5 |