Atkin-Lehner |
3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13545c |
Isogeny class |
Conductor |
13545 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-1991115 = -1 · 33 · 5 · 73 · 43 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ -2 5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12,-70] |
[a1,a2,a3,a4,a6] |
j |
-7077888/73745 |
j-invariant |
L |
2.2270242907296 |
L(r)(E,1)/r! |
Ω |
1.1135121453648 |
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 |
13545a1 67725f1 94815a1 |
Quadratic twists by: -3 5 -7 |