Atkin-Lehner |
3- 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42021m |
Isogeny class |
Conductor |
42021 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55680 |
Modular degree for the optimal curve |
Δ |
-26851797189 = -1 · 36 · 74 · 232 · 29 |
Discriminant |
Eigenvalues |
1 3- 3 7- -3 -7 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4068,-99167] |
[a1,a2,a3,a4,a6] |
Generators |
[96:575:1] |
Generators of the group modulo torsion |
j |
-10214075575873/36833741 |
j-invariant |
L |
8.1948958233416 |
L(r)(E,1)/r! |
Ω |
0.29883094212037 |
Real period |
R |
3.4278979634735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4669b1 |
Quadratic twists by: -3 |