Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958bk |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
375 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
680477758316347392 = 225 · 33 · 175 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -4 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1147228,471194384] |
[a1,a2,a3,a4,a6] |
Generators |
[-904:28196:1] |
Generators of the group modulo torsion |
j |
315658347154011432625/1286347369218048 |
j-invariant |
L |
10.853390600686 |
L(r)(E,1)/r! |
Ω |
0.28813792230572 |
Real period |
R |
0.10044625401438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53958bg1 |
Quadratic twists by: -23 |