Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29406p |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-42873948 = -1 · 22 · 37 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 -1 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,81,177] |
[a1,a2,a3,a4,a6] |
j |
347501687/253692 |
j-invariant |
L |
2.5857897448204 |
L(r)(E,1)/r! |
Ω |
1.292894872411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218bb1 29406c1 |
Quadratic twists by: -3 13 |