Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232c |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.0635364830076E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7995784,-7146677552] |
[a1,a2,a3,a4,a6] |
Generators |
[391842263:43814252508:29791] |
Generators of the group modulo torsion |
j |
5718957389087906/1075876263891 |
j-invariant |
L |
4.5905006286046 |
L(r)(E,1)/r! |
Ω |
0.090950214908528 |
Real period |
R |
12.61816874271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999847476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44616j2 6864f2 |
Quadratic twists by: -4 13 |