Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775p |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.4180059993348E+22 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11147525,11225010000] |
[a1,a2,a3,a4,a6] |
Generators |
[87327520:-741407885:32768] |
Generators of the group modulo torsion |
j |
83339496416030401/18593645841225 |
j-invariant |
L |
6.4457597795016 |
L(r)(E,1)/r! |
Ω |
0.10970292239872 |
Real period |
R |
7.3445625223134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9555q4 6825h3 |
Quadratic twists by: 5 -7 |