Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29406c |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-206944358071932 = -1 · 22 · 37 · 138 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 1 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13686,320832] |
[a1,a2,a3,a4,a6] |
Generators |
[314:5818:1] |
Generators of the group modulo torsion |
j |
347501687/253692 |
j-invariant |
L |
4.0196841416982 |
L(r)(E,1)/r! |
Ω |
0.35858451971249 |
Real period |
R |
5.6049326180075 |
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 |
88218cf1 29406p1 |
Quadratic twists by: -3 13 |