Atkin-Lehner |
2- 3+ 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bm |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-8.9393011968424E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-160181660,-780402761081] |
[a1,a2,a3,a4,a6] |
Generators |
[57351165:3970809221:3375] |
Generators of the group modulo torsion |
j |
-23092491223888437840154875/4541635521435956216 |
j-invariant |
L |
11.497800763429 |
L(r)(E,1)/r! |
Ω |
0.021218331857535 |
Real period |
R |
15.052236749525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96642j2 |
Quadratic twists by: -3 |