Atkin-Lehner |
3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075cb |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-4313344921875 = -1 · 310 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2 3- 5- -5 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2625,-85469] |
[a1,a2,a3,a4,a6] |
j |
7024640/15147 |
j-invariant |
L |
0.80790247415179 |
L(r)(E,1)/r! |
Ω |
0.40395123706204 |
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 |
14025n1 42075z1 |
Quadratic twists by: -3 5 |