Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200cl |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
4026880000 = 212 · 54 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -1 5- -2 11- 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52533,-4616963] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:1:1] |
Generators of the group modulo torsion |
j |
6263089561600/1573 |
j-invariant |
L |
3.4889559915003 |
L(r)(E,1)/r! |
Ω |
0.31534853780415 |
Real period |
R |
1.8439681671217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3575g1 57200bn1 |
Quadratic twists by: -4 5 |