Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020bu |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-8.4426933216065E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4541712,2379994337] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:33957:1] |
Generators of the group modulo torsion |
j |
7549996227362816/6152409907875 |
j-invariant |
L |
4.8794551104517 |
L(r)(E,1)/r! |
Ω |
0.084397780455527 |
Real period |
R |
0.80298568830509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340n3 13860x3 |
Quadratic twists by: -3 -7 |