Atkin-Lehner |
3- 5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
51255c |
Isogeny class |
Conductor |
51255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9.1605468537424E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62223570,189497053075] |
[a1,a2,a3,a4,a6] |
Generators |
[79894771293466112970:1236528966832951923515:19815829883705016] |
Generators of the group modulo torsion |
j |
-36547776592713145928005921/125659078926507421875 |
j-invariant |
L |
6.4085826035356 |
L(r)(E,1)/r! |
Ω |
0.10762906801607 |
Real period |
R |
29.771616170474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17085b6 |
Quadratic twists by: -3 |