Atkin-Lehner |
3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
20787d |
Isogeny class |
Conductor |
20787 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13410432 |
Modular degree for the optimal curve |
Δ |
-28504035350174787 = -1 · 3 · 1310 · 413 |
Discriminant |
Eigenvalues |
2 3+ 4 -2 5 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1606809806,-24790508840251] |
[a1,a2,a3,a4,a6] |
j |
-95051071934010512925700096/5905358043 |
j-invariant |
L |
5.7944832245281 |
L(r)(E,1)/r! |
Ω |
0.011922804988741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
81 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62361h1 1599c1 |
Quadratic twists by: -3 13 |