Atkin-Lehner |
2+ 3+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
111936d |
Isogeny class |
Conductor |
111936 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-11163934273536 = -1 · 212 · 36 · 113 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5191,69849] |
[a1,a2,a3,a4,a6] |
Generators |
[40:583:1] |
Generators of the group modulo torsion |
j |
3776010429248/2725569891 |
j-invariant |
L |
2.8352549576383 |
L(r)(E,1)/r! |
Ω |
0.45663632168148 |
Real period |
R |
1.0348333599725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998706694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111936e2 55968a1 |
Quadratic twists by: -4 8 |