Atkin-Lehner |
3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13545n |
Isogeny class |
Conductor |
13545 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-71001738675 = -1 · 36 · 52 · 72 · 433 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-822,-15705] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1354:1] |
Generators of the group modulo torsion |
j |
-84258095104/97396075 |
j-invariant |
L |
3.9721100022322 |
L(r)(E,1)/r! |
Ω |
0.42673088876869 |
Real period |
R |
0.38784298906484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1505a1 67725n1 94815r1 |
Quadratic twists by: -3 5 -7 |