Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280b |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-16914992230656000 = -1 · 211 · 34 · 53 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 1 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27096,-6479604] |
[a1,a2,a3,a4,a6] |
Generators |
[3739281:153394272:2197] |
Generators of the group modulo torsion |
j |
-1316978/10125 |
j-invariant |
L |
3.7926946634613 |
L(r)(E,1)/r! |
Ω |
0.16427786395641 |
Real period |
R |
11.543535361732 |
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 |
40560p1 60840bt1 101400da1 20280t1 |
Quadratic twists by: -4 -3 5 13 |