Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1232j |
Isogeny class |
Conductor |
1232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
188064464896 = 218 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5179,141930] |
[a1,a2,a3,a4,a6] |
j |
3750606459153/45914176 |
j-invariant |
L |
2.0260250299203 |
L(r)(E,1)/r! |
Ω |
1.0130125149601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
154b2 4928bb2 11088br2 30800bh2 |
Quadratic twists by: -4 8 -3 5 |