Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350bi |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-142492618125000 = -1 · 23 · 313 · 57 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11+ 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11583,312741] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2943:1] |
Generators of the group modulo torsion |
j |
15087533111/12509640 |
j-invariant |
L |
2.8050203653177 |
L(r)(E,1)/r! |
Ω |
0.37574924089703 |
Real period |
R |
0.93314239252512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450ct1 12870bz1 |
Quadratic twists by: -3 5 |