Atkin-Lehner |
3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075cc |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-53251171875 = -1 · 36 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- -3 11- 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,-11084] |
[a1,a2,a3,a4,a6] |
j |
-625/187 |
j-invariant |
L |
1.0035541946545 |
L(r)(E,1)/r! |
Ω |
0.50177709730096 |
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 |
4675r1 42075bn1 |
Quadratic twists by: -3 5 |