Atkin-Lehner |
2+ 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
85440l |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
2989716480 = 210 · 38 · 5 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-485,-3003] |
[a1,a2,a3,a4,a6] |
Generators |
[129890:1452087:1000] |
Generators of the group modulo torsion |
j |
12346507264/2919645 |
j-invariant |
L |
7.6163118215319 |
L(r)(E,1)/r! |
Ω |
1.0345718482263 |
Real period |
R |
7.3618007639791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440bt1 5340c1 |
Quadratic twists by: -4 8 |