Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fh |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
-991257750000 = -1 · 24 · 37 · 56 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1580,54047] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-185:1] |
Generators of the group modulo torsion |
j |
-38272753/87024 |
j-invariant |
L |
11.205608168956 |
L(r)(E,1)/r! |
Ω |
0.77943818139264 |
Real period |
R |
0.89853246303478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023555 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850bo1 4662b1 |
Quadratic twists by: -3 5 |