Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11172i |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-48397104 = -1 · 24 · 32 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2529,49806] |
[a1,a2,a3,a4,a6] |
Generators |
[30:6:1] |
Generators of the group modulo torsion |
j |
-2282579181568/61731 |
j-invariant |
L |
4.7889319383601 |
L(r)(E,1)/r! |
Ω |
1.8670688494822 |
Real period |
R |
1.282473310957 |
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 |
44688ds2 33516o2 11172o2 |
Quadratic twists by: -4 -3 -7 |