Atkin-Lehner |
3+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573h |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7263010214514747 = 39 · 78 · 112 · 232 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11+ -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-338771,-75698360] |
[a1,a2,a3,a4,a6] |
Generators |
[-332:476:1] |
Generators of the group modulo torsion |
j |
1856785158171/3136441 |
j-invariant |
L |
2.635901797342 |
L(r)(E,1)/r! |
Ω |
0.19790973691869 |
Real period |
R |
3.3296767575968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999729158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111573i2 15939a2 |
Quadratic twists by: -3 -7 |