Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775p |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.2990741628906E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-57391275,-167369883750] |
[a1,a2,a3,a4,a6] |
Generators |
[597802023127912000:134273424808192388675:11530922098688] |
Generators of the group modulo torsion |
j |
11372424889583066401/50586128775 |
j-invariant |
L |
6.4457597795016 |
L(r)(E,1)/r! |
Ω |
0.054851461199361 |
Real period |
R |
29.378250089254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9555q3 6825h4 |
Quadratic twists by: 5 -7 |