Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350cn |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-2.8307162030455E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3366888,-8438237719] |
[a1,a2,a3,a4,a6] |
j |
-243979633825/1636214272 |
j-invariant |
L |
7.1370730925225 |
L(r)(E,1)/r! |
Ω |
0.049563007587613 |
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 |
42350bo1 3850e1 |
Quadratic twists by: 5 -11 |