Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766j |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-981077724864864 = -1 · 25 · 37 · 112 · 415 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 11- 2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-95878,-11565836] |
[a1,a2,a3,a4,a6] |
Generators |
[4407:289655:1] |
Generators of the group modulo torsion |
j |
-805568207050793329/8108080370784 |
j-invariant |
L |
3.701192592023 |
L(r)(E,1)/r! |
Ω |
0.13557468723865 |
Real period |
R |
5.4600053555835 |
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 |
89298cb1 29766ba1 |
Quadratic twists by: -3 -11 |