Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56628y |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-8346191622912 = -1 · 28 · 313 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 -5 11- 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3696,-108812] |
[a1,a2,a3,a4,a6] |
Generators |
[69:689:1] |
Generators of the group modulo torsion |
j |
247267328/369603 |
j-invariant |
L |
5.3419460385912 |
L(r)(E,1)/r! |
Ω |
0.38960835714461 |
Real period |
R |
3.4277665895556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18876m1 56628p1 |
Quadratic twists by: -3 -11 |