Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11172p |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
12116557250719488 = 28 · 32 · 79 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71948,5184612] |
[a1,a2,a3,a4,a6] |
j |
1367595682000/402300927 |
j-invariant |
L |
2.2356564131785 |
L(r)(E,1)/r! |
Ω |
0.37260940219641 |
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 |
44688ci2 33516e2 1596b2 |
Quadratic twists by: -4 -3 -7 |