Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650bu |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
7276559062500 = 22 · 39 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-358588,82500281] |
[a1,a2,a3,a4,a6] |
j |
326355561310674169/465699780 |
j-invariant |
L |
1.2648615775968 |
L(r)(E,1)/r! |
Ω |
0.63243078879842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200gd1 40950z1 2730p1 95550kg1 |
Quadratic twists by: -4 -3 5 -7 |