Atkin-Lehner |
3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
20295k |
Isogeny class |
Conductor |
20295 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8258563869226171875 = 318 · 58 · 113 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2704838,-1705953558] |
[a1,a2,a3,a4,a6] |
Generators |
[-58092:83885:64] |
Generators of the group modulo torsion |
j |
3002063061132672197401/11328619848046875 |
j-invariant |
L |
2.1158826769294 |
L(r)(E,1)/r! |
Ω |
0.11775051619967 |
Real period |
R |
8.9846004298675 |
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 |
6765c3 101475bk4 |
Quadratic twists by: -3 5 |