Atkin-Lehner |
2+ 3- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29370i |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5716664910 = -1 · 2 · 38 · 5 · 11 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,436,992] |
[a1,a2,a3,a4,a6] |
Generators |
[0:31:1] [54:491:8] |
Generators of the group modulo torsion |
j |
9196324145351/5716664910 |
j-invariant |
L |
6.3164917804378 |
L(r)(E,1)/r! |
Ω |
0.83565069049059 |
Real period |
R |
1.8896926228617 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88110cv2 |
Quadratic twists by: -3 |