Atkin-Lehner |
3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775b |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
18993602925 = 39 · 52 · 113 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4590,-119509] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:13:1] [1778:25089:8] |
Generators of the group modulo torsion |
j |
21733539840/38599 |
j-invariant |
L |
8.2799001606237 |
L(r)(E,1)/r! |
Ω |
0.58008644068795 |
Real period |
R |
7.1367813310708 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71775f1 71775n2 |
Quadratic twists by: -3 5 |