Atkin-Lehner |
2+ 3- 5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
42330h |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1.3606678078965E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11074509,22718863432] |
[a1,a2,a3,a4,a6] |
Generators |
[-1977848:46373043:512] |
Generators of the group modulo torsion |
j |
-150209395035662456914985929/136066780789645824000000 |
j-invariant |
L |
5.5330840949399 |
L(r)(E,1)/r! |
Ω |
0.094738656067188 |
Real period |
R |
9.73394304681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990ci2 |
Quadratic twists by: -3 |