Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
242a |
Isogeny class |
Conductor |
242 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-495616 = -1 · 212 · 112 |
Discriminant |
Eigenvalues |
2- -2 -3 -2 11- -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52,144] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-20:1] |
Generators of the group modulo torsion |
j |
-128667913/4096 |
j-invariant |
L |
1.4486447783624 |
L(r)(E,1)/r! |
Ω |
2.9307853161438 |
Real period |
R |
0.041190460977095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1936i2 7744k2 2178f2 6050j2 |
Quadratic twists by: -4 8 -3 5 |