Atkin-Lehner |
2- 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266n |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
5744522916 = 22 · 311 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3119,-66157] |
[a1,a2,a3,a4,a6] |
Generators |
[351:6304:1] |
Generators of the group modulo torsion |
j |
4601630708137/7880004 |
j-invariant |
L |
7.9981932667532 |
L(r)(E,1)/r! |
Ω |
0.63892702834464 |
Real period |
R |
3.1295409772675 |
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 |
106128by1 4422g1 |
Quadratic twists by: -4 -3 |