Atkin-Lehner |
2- 3- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63336p |
Isogeny class |
Conductor |
63336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
126672 = 24 · 3 · 7 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2639,-53070] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1068:1] |
Generators of the group modulo torsion |
j |
127082707105792/7917 |
j-invariant |
L |
6.6205284381797 |
L(r)(E,1)/r! |
Ω |
0.66607938971526 |
Real period |
R |
4.9697742791587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672r1 |
Quadratic twists by: -4 |