Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352bx |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-187787787264 = -1 · 210 · 39 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8508,302776] |
[a1,a2,a3,a4,a6] |
Generators |
[53:27:1] |
Generators of the group modulo torsion |
j |
-91238612224/251559 |
j-invariant |
L |
5.4180122059223 |
L(r)(E,1)/r! |
Ω |
1.0127797668367 |
Real period |
R |
1.3374112475702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352dv1 5544v1 14784bk1 |
Quadratic twists by: -4 8 -3 |