Atkin-Lehner |
3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775bu |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
323188024770703125 = 311 · 58 · 115 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3610875,-2640848594] |
[a1,a2,a3,a4,a6] |
Generators |
[-1100:337:1] [-1091:139:1] |
Generators of the group modulo torsion |
j |
18284096823070720/1134926397 |
j-invariant |
L |
5.816652236561 |
L(r)(E,1)/r! |
Ω |
0.10952116594458 |
Real period |
R |
8.8516409688004 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925o2 71775bb1 |
Quadratic twists by: -3 5 |