Atkin-Lehner |
2- 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
56650r |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1823421875000 = -1 · 23 · 59 · 11 · 1032 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- 2 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12463,538417] |
[a1,a2,a3,a4,a6] |
Generators |
[72:89:1] |
Generators of the group modulo torsion |
j |
-13701674594089/116699000 |
j-invariant |
L |
12.299622611958 |
L(r)(E,1)/r! |
Ω |
0.83951030750927 |
Real period |
R |
0.61045620395356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330d1 |
Quadratic twists by: 5 |