Atkin-Lehner |
2- 3- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
116820s |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-8864201833383600 = -1 · 24 · 314 · 52 · 113 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67692,-8152999] |
[a1,a2,a3,a4,a6] |
Generators |
[1042:32445:1] |
Generators of the group modulo torsion |
j |
-2940954045988864/759962434275 |
j-invariant |
L |
8.2750408672906 |
L(r)(E,1)/r! |
Ω |
0.14601328724083 |
Real period |
R |
4.7227670424315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999739381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38940f1 |
Quadratic twists by: -3 |