Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266l |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
79953364389888 = 212 · 33 · 115 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14354,-499439] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:287:1] |
Generators of the group modulo torsion |
j |
12112963494238179/2961235718144 |
j-invariant |
L |
7.9178350145883 |
L(r)(E,1)/r! |
Ω |
0.44395188789262 |
Real period |
R |
0.29724823907433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128v1 13266a1 |
Quadratic twists by: -4 -3 |