Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29406s |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3669120 |
Modular degree for the optimal curve |
Δ |
-3.5899949936937E+21 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 1 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,985689,-2857612269] |
[a1,a2,a3,a4,a6] |
Generators |
[10726340821650:-44053721634780353:636056] |
Generators of the group modulo torsion |
j |
21942358211971079/743761560420918 |
j-invariant |
L |
8.4128537201577 |
L(r)(E,1)/r! |
Ω |
0.067606964672056 |
Real period |
R |
20.739613048661 |
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 |
88218w1 2262c1 |
Quadratic twists by: -3 13 |