Atkin-Lehner |
2- 5- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53680ba |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
900482000 = 24 · 53 · 112 · 612 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-265,738] |
[a1,a2,a3,a4,a6] |
Generators |
[26:110:1] |
Generators of the group modulo torsion |
j |
129115734016/56280125 |
j-invariant |
L |
4.9959135701039 |
L(r)(E,1)/r! |
Ω |
1.4190011284964 |
Real period |
R |
1.1735751930705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13420i1 |
Quadratic twists by: -4 |