Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11172a |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
302074834505472 = 28 · 34 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-150348,22473144] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:6174:1] |
Generators of the group modulo torsion |
j |
36382894000/29241 |
j-invariant |
L |
3.576543480062 |
L(r)(E,1)/r! |
Ω |
0.54153945294056 |
Real period |
R |
1.1007334309136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688dd2 33516f2 11172t2 |
Quadratic twists by: -4 -3 -7 |