Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20475a |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
1819139765625 = 39 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -2 13+ -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3417,-40384] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:108:1] |
Generators of the group modulo torsion |
j |
14348907/5915 |
j-invariant |
L |
5.1866424041471 |
L(r)(E,1)/r! |
Ω |
0.64750497975183 |
Real period |
R |
2.0025492337275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20475b1 4095f1 |
Quadratic twists by: -3 5 |