Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29406g |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-219370728790512 = -1 · 24 · 39 · 134 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41071,-3285358] |
[a1,a2,a3,a4,a6] |
Generators |
[235:116:1] |
Generators of the group modulo torsion |
j |
-268250743281625/7680778992 |
j-invariant |
L |
5.2839633325566 |
L(r)(E,1)/r! |
Ω |
0.16739946567384 |
Real period |
R |
1.7536108451345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88218bt1 29406y1 |
Quadratic twists by: -3 13 |