Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21560c |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
-331299584000 = -1 · 211 · 53 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 11+ 6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3283,77518] |
[a1,a2,a3,a4,a6] |
j |
-16241202/1375 |
j-invariant |
L |
0.9427040980282 |
L(r)(E,1)/r! |
Ω |
0.94270409802821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43120l1 107800bv1 440d1 |
Quadratic twists by: -4 5 -7 |