Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266g |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-18798842096674596 = -1 · 22 · 317 · 112 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11- 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11304,-6610028] |
[a1,a2,a3,a4,a6] |
Generators |
[242:2066:1] |
Generators of the group modulo torsion |
j |
-219136257917569/25787163369924 |
j-invariant |
L |
4.0169065344566 |
L(r)(E,1)/r! |
Ω |
0.17149431163575 |
Real period |
R |
1.4639357772798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106128be1 4422h1 |
Quadratic twists by: -4 -3 |