Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094y |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-579254751270531072 = -1 · 212 · 38 · 116 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,206343,6217965] |
[a1,a2,a3,a4,a6] |
Generators |
[486:34605:8] [162:-6705:1] |
Generators of the group modulo torsion |
j |
752329532375/448524288 |
j-invariant |
L |
6.9497193505393 |
L(r)(E,1)/r! |
Ω |
0.17757101282648 |
Real period |
R |
3.2614742124475 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16698bl3 414a3 |
Quadratic twists by: -3 -11 |