Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800r |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
8010000000000 = 210 · 32 · 510 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5008,-10012] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:300:1] |
Generators of the group modulo torsion |
j |
868327204/500625 |
j-invariant |
L |
5.8117576241928 |
L(r)(E,1)/r! |
Ω |
0.61850132089891 |
Real period |
R |
1.1745645133001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53400b1 21360c1 |
Quadratic twists by: -4 5 |