Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520bc |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
201958400000000 = 216 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 6 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17185,-527583] |
[a1,a2,a3,a4,a6] |
Generators |
[339:5700:1] |
Generators of the group modulo torsion |
j |
8564808605476/3081640625 |
j-invariant |
L |
9.9784612898899 |
L(r)(E,1)/r! |
Ω |
0.42944656260349 |
Real period |
R |
2.9044537082132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520ci1 6440f1 |
Quadratic twists by: -4 8 |