Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584m |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
420774912 = 210 · 35 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136968,19556604] |
[a1,a2,a3,a4,a6] |
Generators |
[164680:1507861:512] |
Generators of the group modulo torsion |
j |
277513598567870500/410913 |
j-invariant |
L |
4.9624962516713 |
L(r)(E,1)/r! |
Ω |
1.0758407329902 |
Real period |
R |
9.2253362407603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81168ba1 121752c1 |
Quadratic twists by: -4 -3 |