Atkin-Lehner |
3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4845a |
Isogeny class |
Conductor |
4845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.5706986477254E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 -2 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59900318,178413857013] |
[a1,a2,a3,a4,a6] |
Generators |
[35501380:9124057:8000] |
Generators of the group modulo torsion |
j |
23769010769195027624595182569/157069864772544931875 |
j-invariant |
L |
3.3087609893993 |
L(r)(E,1)/r! |
Ω |
0.1626773591541 |
Real period |
R |
10.169703413568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520cg2 14535l2 24225l2 82365n2 |
Quadratic twists by: -4 -3 5 17 |