Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29406k |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-2037605987169792 = -1 · 29 · 37 · 137 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 1 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47155,4496078] |
[a1,a2,a3,a4,a6] |
Generators |
[118:-820:1] |
Generators of the group modulo torsion |
j |
-2402335209457/422143488 |
j-invariant |
L |
6.3019983495605 |
L(r)(E,1)/r! |
Ω |
0.44764988049701 |
Real period |
R |
1.0055687689552 |
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 |
88218bz1 2262l1 |
Quadratic twists by: -3 13 |