Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20832b |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-188987904 = -1 · 29 · 35 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 3 -3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64,712] |
[a1,a2,a3,a4,a6] |
Generators |
[9:28:1] |
Generators of the group modulo torsion |
j |
-57512456/369117 |
j-invariant |
L |
5.4018724595488 |
L(r)(E,1)/r! |
Ω |
1.5462010464467 |
Real period |
R |
1.7468208522956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20832bh1 41664bj1 62496bh1 |
Quadratic twists by: -4 8 -3 |