Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766s |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1413762141192192 = 216 · 33 · 117 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41022,-2640464] |
[a1,a2,a3,a4,a6] |
Generators |
[2870:151932:1] |
Generators of the group modulo torsion |
j |
4309261738417/798031872 |
j-invariant |
L |
4.9643182545207 |
L(r)(E,1)/r! |
Ω |
0.33975416942823 |
Real period |
R |
4.8705002039907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89298cr1 2706r1 |
Quadratic twists by: -3 -11 |