Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550bv |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-63061588800 = -1 · 26 · 33 · 52 · 72 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1488,24561] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:-207:1] |
Generators of the group modulo torsion |
j |
-14575072995625/2522463552 |
j-invariant |
L |
5.9373666727041 |
L(r)(E,1)/r! |
Ω |
1.0638917277345 |
Real period |
R |
0.15502221487401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650bg1 32550bk1 |
Quadratic twists by: -3 5 |