Atkin-Lehner |
5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29095d |
Isogeny class |
Conductor |
29095 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-18184375 = -1 · 55 · 11 · 232 |
Discriminant |
Eigenvalues |
-1 -2 5- 3 11+ -3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,35,192] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:13:1] |
Generators of the group modulo torsion |
j |
8947391/34375 |
j-invariant |
L |
2.1400017809605 |
L(r)(E,1)/r! |
Ω |
1.5526979241115 |
Real period |
R |
0.27564946764325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29095b1 |
Quadratic twists by: -23 |