Atkin-Lehner |
2+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102080s |
Isogeny class |
Conductor |
102080 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-63800000 = -1 · 26 · 55 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 11- -5 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-413] |
[a1,a2,a3,a4,a6] |
Generators |
[14:35:1] |
Generators of the group modulo torsion |
j |
-481890304/996875 |
j-invariant |
L |
6.5860958826289 |
L(r)(E,1)/r! |
Ω |
0.7879239545749 |
Real period |
R |
1.6717592746617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102080bn1 1595a1 |
Quadratic twists by: -4 8 |