Atkin-Lehner |
2- 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53360i |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
6994001920 = 221 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 1 7 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4736,126976] |
[a1,a2,a3,a4,a6] |
j |
2868735731329/1707520 |
j-invariant |
L |
2.6258439352073 |
L(r)(E,1)/r! |
Ω |
1.3129219676976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6670f1 |
Quadratic twists by: -4 |