Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56628a |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
250398610944768 = 28 · 33 · 118 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19239,-689458] |
[a1,a2,a3,a4,a6] |
Generators |
[-718:4485:8] |
Generators of the group modulo torsion |
j |
64314864/20449 |
j-invariant |
L |
7.426422970211 |
L(r)(E,1)/r! |
Ω |
0.41554442899811 |
Real period |
R |
4.4678874580006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56628b2 5148a2 |
Quadratic twists by: -3 -11 |