Atkin-Lehner |
2- 3- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
51888t |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
3227848704 = 212 · 36 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-504,-3564] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:30:1] [-10:24:1] |
Generators of the group modulo torsion |
j |
3463512697/788049 |
j-invariant |
L |
9.6048126577316 |
L(r)(E,1)/r! |
Ω |
1.0238929477341 |
Real period |
R |
1.563446757949 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3243b1 |
Quadratic twists by: -4 |