Atkin-Lehner |
2- 7- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
29036i |
Isogeny class |
Conductor |
29036 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-33565616 = -1 · 24 · 7 · 173 · 61 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 3 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,224] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:49:8] |
Generators of the group modulo torsion |
j |
1701036032/2097851 |
j-invariant |
L |
5.0386720473372 |
L(r)(E,1)/r! |
Ω |
1.3885267819458 |
Real period |
R |
3.6287899613117 |
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 |
116144p1 |
Quadratic twists by: -4 |