Atkin-Lehner |
2- 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128bd |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-7.5840923557656E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-324583992,-2254814307648] |
[a1,a2,a3,a4,a6] |
Generators |
[10049881229973190:318345789272854791:472729139000] |
Generators of the group modulo torsion |
j |
-3693218893320489942273647332/7406340191177313578283 |
j-invariant |
L |
8.1445002133167 |
L(r)(E,1)/r! |
Ω |
0.017782204278775 |
Real period |
R |
19.083920656561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74256s3 111384t3 |
Quadratic twists by: -4 -3 |