Atkin-Lehner |
2- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
53680p |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1996800 |
Modular degree for the optimal curve |
Δ |
8794931200000000 = 225 · 58 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 11+ -1 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25648656,50005675456] |
[a1,a2,a3,a4,a6] |
Generators |
[78942:1250:27] |
Generators of the group modulo torsion |
j |
455572624814874647288209/2147200000000 |
j-invariant |
L |
2.6376600991994 |
L(r)(E,1)/r! |
Ω |
0.27846591753575 |
Real period |
R |
2.3680277666741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710g1 |
Quadratic twists by: -4 |