Atkin-Lehner |
2+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520bj |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
504896000000 = 212 · 56 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10185,390775] |
[a1,a2,a3,a4,a6] |
Generators |
[35:280:1] [-70:875:1] |
Generators of the group modulo torsion |
j |
28529194119616/123265625 |
j-invariant |
L |
7.3979242778154 |
L(r)(E,1)/r! |
Ω |
0.9342564612869 |
Real period |
R |
0.43991752826187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520u1 25760b1 |
Quadratic twists by: -4 8 |