Atkin-Lehner |
2+ 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
23240b |
Isogeny class |
Conductor |
23240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-91100800000 = -1 · 210 · 55 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 -4 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73256,7607200] |
[a1,a2,a3,a4,a6] |
Generators |
[156:4:1] |
Generators of the group modulo torsion |
j |
-42457976023734436/88965625 |
j-invariant |
L |
2.7844424964604 |
L(r)(E,1)/r! |
Ω |
0.92295513490341 |
Real period |
R |
1.5084387047436 |
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 |
46480c1 116200v1 |
Quadratic twists by: -4 5 |