Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478x |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-309773071872 = -1 · 29 · 36 · 112 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 4 -1 11- -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13320,-588992] |
[a1,a2,a3,a4,a6] |
Generators |
[15753:364286:27] |
Generators of the group modulo torsion |
j |
-52271672419/61952 |
j-invariant |
L |
6.4004143243325 |
L(r)(E,1)/r! |
Ω |
0.22218314722441 |
Real period |
R |
7.2017324486674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942l1 71478cm1 |
Quadratic twists by: -3 -19 |