Atkin-Lehner |
2- 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
42720d |
Isogeny class |
Conductor |
42720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-27340800 = -1 · 212 · 3 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-141,741] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:36:1] [-4:35:1] |
Generators of the group modulo torsion |
j |
-76225024/6675 |
j-invariant |
L |
7.7058775951352 |
L(r)(E,1)/r! |
Ω |
2.0622743591994 |
Real period |
R |
0.93414796638988 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42720k1 85440bo1 128160r1 |
Quadratic twists by: -4 8 -3 |