Atkin-Lehner |
3- 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42021n |
Isogeny class |
Conductor |
42021 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-340305429681 = -1 · 39 · 72 · 233 · 29 |
Discriminant |
Eigenvalues |
-1 3- 1 7- 1 1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2417,54258] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:321:1] |
Generators of the group modulo torsion |
j |
-2141202151369/466811289 |
j-invariant |
L |
4.4293312105032 |
L(r)(E,1)/r! |
Ω |
0.91852499136489 |
Real period |
R |
0.20092590712246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14007e1 |
Quadratic twists by: -3 |