Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150t |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-8.0236927824984E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11- -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28115817,71770581341] |
[a1,a2,a3,a4,a6] |
Generators |
[5278:262663:1] |
Generators of the group modulo torsion |
j |
-7992166558175554923/2608933282934000 |
j-invariant |
L |
4.5847360849156 |
L(r)(E,1)/r! |
Ω |
0.084488315695992 |
Real period |
R |
0.75367687877705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150du1 16830bl2 |
Quadratic twists by: -3 5 |