Atkin-Lehner |
2+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63544b |
Isogeny class |
Conductor |
63544 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13632 |
Modular degree for the optimal curve |
Δ |
-16267264 = -1 · 211 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ -2 -1 -3 -3 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-272] |
[a1,a2,a3,a4,a6] |
j |
-57122/47 |
j-invariant |
L |
0.84188485275235 |
L(r)(E,1)/r! |
Ω |
0.84188484705995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127088b1 63544c1 |
Quadratic twists by: -4 13 |