Atkin-Lehner |
3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235d |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
770865531345 = 33 · 5 · 7 · 138 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -2 13+ -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2567,27486] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:261:1] [-6:209:1] |
Generators of the group modulo torsion |
j |
14348907/5915 |
j-invariant |
L |
6.3462312158835 |
L(r)(E,1)/r! |
Ω |
0.81284002316108 |
Real period |
R |
3.9037393798635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53235a1 4095c1 |
Quadratic twists by: -3 13 |