Atkin-Lehner |
3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075bn |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-3408075 = -1 · 36 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 11- 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,-88] |
[a1,a2,a3,a4,a6] |
j |
-625/187 |
j-invariant |
L |
2.2440153981543 |
L(r)(E,1)/r! |
Ω |
1.1220076991175 |
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 |
4675a1 42075cc1 |
Quadratic twists by: -3 5 |