Atkin-Lehner |
2+ 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266a |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
58286002640228352 = 212 · 39 · 115 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-129183,13614029] |
[a1,a2,a3,a4,a6] |
Generators |
[353:3274:1] |
Generators of the group modulo torsion |
j |
12112963494238179/2961235718144 |
j-invariant |
L |
2.5924054997278 |
L(r)(E,1)/r! |
Ω |
0.33030773875675 |
Real period |
R |
3.9242276149589 |
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 |
106128z1 13266l1 |
Quadratic twists by: -4 -3 |