Atkin-Lehner |
2+ 3- 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826i |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.7650295862445E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-219366,-297799736] |
[a1,a2,a3,a4,a6] |
Generators |
[11377301:-820127563:2197] |
Generators of the group modulo torsion |
j |
-1601419992853486177/51646496381954628 |
j-invariant |
L |
4.5263377086378 |
L(r)(E,1)/r! |
Ω |
0.089338690721333 |
Real period |
R |
12.666230252689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18942l4 |
Quadratic twists by: -3 |