Atkin-Lehner |
2+ 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
5856d |
Isogeny class |
Conductor |
5856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-20238336 = -1 · 212 · 34 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 -1 -3 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,81] |
[a1,a2,a3,a4,a6] |
Generators |
[0:9:1] [1:12:1] |
Generators of the group modulo torsion |
j |
6644672/4941 |
j-invariant |
L |
3.7448127971773 |
L(r)(E,1)/r! |
Ω |
1.3798013319569 |
Real period |
R |
0.33925289735966 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5856h1 11712bj1 17568n1 |
Quadratic twists by: -4 8 -3 |