Atkin-Lehner |
3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13545j |
Isogeny class |
Conductor |
13545 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
93184 |
Modular degree for the optimal curve |
Δ |
2099524100625 = 313 · 54 · 72 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-864077,309371204] |
[a1,a2,a3,a4,a6] |
Generators |
[-663:24631:1] |
Generators of the group modulo torsion |
j |
97870779730288961929/2880005625 |
j-invariant |
L |
3.0341417776106 |
L(r)(E,1)/r! |
Ω |
0.6043348320814 |
Real period |
R |
2.5103151568814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4515f1 67725z1 94815m1 |
Quadratic twists by: -3 5 -7 |