Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094cj |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
1.6509876936328E+27 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3392297096,76023916067531] |
[a1,a2,a3,a4,a6] |
Generators |
[34317:135193:1] |
Generators of the group modulo torsion |
j |
3342887139776073669969553/1278380674753560576 |
j-invariant |
L |
6.1966930183578 |
L(r)(E,1)/r! |
Ω |
0.046523971507529 |
Real period |
R |
1.3874328333564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16698r2 4554k2 |
Quadratic twists by: -3 -11 |