Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650v |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
11642494500 = 22 · 39 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14395,-670775] |
[a1,a2,a3,a4,a6] |
j |
2639343078571373/93139956 |
j-invariant |
L |
0.87171320389171 |
L(r)(E,1)/r! |
Ω |
0.43585660194585 |
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 |
109200hd1 40950fn1 13650cz1 95550fj1 |
Quadratic twists by: -4 -3 5 -7 |