Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280w |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-431334720 = -1 · 26 · 36 · 5 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 6 2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-380,-2898] |
[a1,a2,a3,a4,a6] |
Generators |
[16531311:-151191152:185193] |
Generators of the group modulo torsion |
j |
-95068558144/6739605 |
j-invariant |
L |
6.8339455130665 |
L(r)(E,1)/r! |
Ω |
0.53834278358926 |
Real period |
R |
12.694412781953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280bq1 20640g2 123840cg1 |
Quadratic twists by: -4 8 -3 |