Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350cp |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-8.6690683718268E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-272313,451178531] |
[a1,a2,a3,a4,a6] |
j |
-80677568161/3131816380 |
j-invariant |
L |
7.6457157743861 |
L(r)(E,1)/r! |
Ω |
0.15928574530199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470l3 3850c3 |
Quadratic twists by: 5 -11 |