Atkin-Lehner |
2- 3- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51888bc |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1524292440484608 = -1 · 28 · 39 · 235 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 4 -4 2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1845,-1879281] |
[a1,a2,a3,a4,a6] |
Generators |
[231:-3174:1] |
Generators of the group modulo torsion |
j |
-2714614890496/5954267345643 |
j-invariant |
L |
6.342980367806 |
L(r)(E,1)/r! |
Ω |
0.21592464675526 |
Real period |
R |
0.32639886507469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12972a1 |
Quadratic twists by: -4 |