Atkin-Lehner |
2- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57664bk |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
13528579237696 = 26 · 175 · 533 |
Discriminant |
Eigenvalues |
2- -3 -1 2 0 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6028,-33674] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:289:1] |
Generators of the group modulo torsion |
j |
378497895469056/211384050589 |
j-invariant |
L |
3.5049358918162 |
L(r)(E,1)/r! |
Ω |
0.58176185814939 |
Real period |
R |
1.2049383584509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664m1 14416n1 |
Quadratic twists by: -4 8 |