Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802t |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-13178477088 = -1 · 25 · 39 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 3 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,117,-5531] |
[a1,a2,a3,a4,a6] |
Generators |
[23:83:1] |
Generators of the group modulo torsion |
j |
704969/52704 |
j-invariant |
L |
3.5994618189554 |
L(r)(E,1)/r! |
Ω |
0.59985754538218 |
Real period |
R |
1.5001319257556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17934t1 53802bc1 |
Quadratic twists by: -3 -7 |