Atkin-Lehner |
3- 5- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39585l |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-203358555855 = -1 · 312 · 5 · 7 · 13 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 2 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7038,227683] |
[a1,a2,a3,a4,a6] |
Generators |
[47:12:1] |
Generators of the group modulo torsion |
j |
-38546308479533401/203358555855 |
j-invariant |
L |
9.1452138487276 |
L(r)(E,1)/r! |
Ω |
1.0081603015155 |
Real period |
R |
1.511865033596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118755f1 |
Quadratic twists by: -3 |