Atkin-Lehner |
2+ 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008r |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
2286592 |
Modular degree for the optimal curve |
Δ |
-831501889900222464 = -1 · 211 · 311 · 77 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11- 5 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2481704,-1506247212] |
[a1,a2,a3,a4,a6] |
j |
-825360873021344115794/406006782177843 |
j-invariant |
L |
5.2923907285921 |
L(r)(E,1)/r! |
Ω |
0.06014080474549 |
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 |
42504e1 |
Quadratic twists by: -4 |