Atkin-Lehner |
2+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53482c |
Isogeny class |
Conductor |
53482 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
376555976605952 = 28 · 116 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 0 -4 2 11- 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20774,680884] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1394:1] |
Generators of the group modulo torsion |
j |
559679941521/212556032 |
j-invariant |
L |
2.555860413462 |
L(r)(E,1)/r! |
Ω |
0.48872158753071 |
Real period |
R |
2.6148429686121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
442b1 |
Quadratic twists by: -11 |