Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150ea |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.5811697200125E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5366255,-7711928753] |
[a1,a2,a3,a4,a6] |
Generators |
[2477605:345003416:125] |
Generators of the group modulo torsion |
j |
-40509209135606968827/37479578548445000 |
j-invariant |
L |
12.963630453912 |
L(r)(E,1)/r! |
Ω |
0.047774887854945 |
Real period |
R |
11.30617554859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150n2 16830d2 |
Quadratic twists by: -3 5 |