Atkin-Lehner |
3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44835f |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
10433420572716645 = 3 · 5 · 77 · 615 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -3 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-36809306,85969925516] |
[a1,a2,a3,a4,a6] |
j |
46882241959765764468736/88682611605 |
j-invariant |
L |
0.52664870568935 |
L(r)(E,1)/r! |
Ω |
0.26332435298819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6405m2 |
Quadratic twists by: -7 |