Atkin-Lehner |
5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45815k |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.6494201105613E+27 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 11- -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1215245653,15900125947206] |
[a1,a2,a3,a4,a6] |
Generators |
[31488:2959805:1] |
Generators of the group modulo torsion |
j |
1687049014375316674341017361/48019278621673583984375 |
j-invariant |
L |
2.0610373887378 |
L(r)(E,1)/r! |
Ω |
0.0425824595655 |
Real period |
R |
6.0501360471365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6545f3 |
Quadratic twists by: -7 |