Atkin-Lehner |
2+ 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010k |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
569724329708100 = 22 · 35 · 52 · 710 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28592,1452396] |
[a1,a2,a3,a4,a6] |
j |
21973174804729/4842576900 |
j-invariant |
L |
1.9530337914548 |
L(r)(E,1)/r! |
Ω |
0.48825818194557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430o1 |
Quadratic twists by: -7 |