Atkin-Lehner |
2- 3- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
42804h |
Isogeny class |
Conductor |
42804 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-15352425072 = -1 · 24 · 39 · 29 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 3 -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-840765,-296729039] |
[a1,a2,a3,a4,a6] |
Generators |
[979832:49245435:343] |
Generators of the group modulo torsion |
j |
-5635079843220832000/1316223 |
j-invariant |
L |
6.3674991805441 |
L(r)(E,1)/r! |
Ω |
0.078831701951335 |
Real period |
R |
10.096666415495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14268c1 |
Quadratic twists by: -3 |