Atkin-Lehner |
2- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46816g |
Isogeny class |
Conductor |
46816 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
104960 |
Modular degree for the optimal curve |
Δ |
-11668812345344 = -1 · 212 · 72 · 115 · 192 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 11- 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5011,-93179] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-836:1] |
Generators of the group modulo torsion |
j |
3396646112768/2848831139 |
j-invariant |
L |
5.8705795596782 |
L(r)(E,1)/r! |
Ω |
0.39541185639204 |
Real period |
R |
0.37116866027021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46816k1 93632s1 |
Quadratic twists by: -4 8 |