Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
121128p |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
5089289033184217344 = 28 · 314 · 79 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9196924,-10737763744] |
[a1,a2,a3,a4,a6] |
j |
2856428429656600528/168977511801 |
j-invariant |
L |
2.4274403552366 |
L(r)(E,1)/r! |
Ω |
0.086694279753363 |
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 |
17304a2 |
Quadratic twists by: -7 |