Atkin-Lehner |
3- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
61335h |
Isogeny class |
Conductor |
61335 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
132096 |
Modular degree for the optimal curve |
Δ |
-27262765015875 = -1 · 38 · 53 · 294 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -2 3 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-28488,1867693] |
[a1,a2,a3,a4,a6] |
Generators |
[97:-131:1] |
Generators of the group modulo torsion |
j |
-3507373899513856/37397482875 |
j-invariant |
L |
3.0901073452214 |
L(r)(E,1)/r! |
Ω |
0.66963172751928 |
Real period |
R |
0.57682962483087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20445c1 |
Quadratic twists by: -3 |