Atkin-Lehner |
2- 3+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
42804c |
Isogeny class |
Conductor |
42804 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-15352425072 = -1 · 24 · 39 · 29 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 3 -1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3753,-88695] |
[a1,a2,a3,a4,a6] |
j |
-18562998528/48749 |
j-invariant |
L |
3.6592143162433 |
L(r)(E,1)/r! |
Ω |
0.30493452635291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42804b1 |
Quadratic twists by: -3 |