Atkin-Lehner |
2+ 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20664d |
Isogeny class |
Conductor |
20664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-13886208 = -1 · 28 · 33 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- -3 2 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,180] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] [-2:14:1] |
Generators of the group modulo torsion |
j |
-27648/2009 |
j-invariant |
L |
6.2685581342891 |
L(r)(E,1)/r! |
Ω |
1.8397844071933 |
Real period |
R |
0.21295151859165 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41328a1 20664m1 |
Quadratic twists by: -4 -3 |