Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176br |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-17706093405751296 = -1 · 211 · 39 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,-6402058] |
[a1,a2,a3,a4,a6] |
Generators |
[48230:891306:125] |
Generators of the group modulo torsion |
j |
-2/2457 |
j-invariant |
L |
7.3390825259216 |
L(r)(E,1)/r! |
Ω |
0.17796039305104 |
Real period |
R |
5.1549971304206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28392a1 6552k1 |
Quadratic twists by: -3 13 |