Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550br |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1081397460937500 = -1 · 22 · 36 · 512 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2813,1582031] |
[a1,a2,a3,a4,a6] |
Generators |
[99:1462:1] |
Generators of the group modulo torsion |
j |
-157551496201/69209437500 |
j-invariant |
L |
7.5583018226662 |
L(r)(E,1)/r! |
Ω |
0.39795689307001 |
Real period |
R |
2.3740956477592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650ba1 6510k1 |
Quadratic twists by: -3 5 |