Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936l |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
47150180352 = 211 · 38 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11235,458242] |
[a1,a2,a3,a4,a6] |
Generators |
[29:396:1] |
Generators of the group modulo torsion |
j |
105047437250/31581 |
j-invariant |
L |
5.0870510053603 |
L(r)(E,1)/r! |
Ω |
1.1083363439099 |
Real period |
R |
0.5737259985781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22968j2 15312i2 |
Quadratic twists by: -4 -3 |