Atkin-Lehner |
2+ 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150cr |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.691183207025E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-277236117,1776804983541] |
[a1,a2,a3,a4,a6] |
Generators |
[-6231:1809303:1] |
Generators of the group modulo torsion |
j |
1655066956257229073021/11877720192 |
j-invariant |
L |
5.3759958116092 |
L(r)(E,1)/r! |
Ω |
0.15110096600498 |
Real period |
R |
2.2236769850433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999931622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050cs2 111150fa2 |
Quadratic twists by: -3 5 |