Atkin-Lehner |
2- 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382bv |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
1.6549282138286E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-469707239,-3918255848151] |
[a1,a2,a3,a4,a6] |
Generators |
[-12512:8461:1] |
Generators of the group modulo torsion |
j |
97413070452067229637409633/140666577176907936 |
j-invariant |
L |
11.150092780181 |
L(r)(E,1)/r! |
Ω |
0.032429688635377 |
Real period |
R |
2.865196791791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626l4 |
Quadratic twists by: -7 |