Atkin-Lehner |
2+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
116200o |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
797184 |
Modular degree for the optimal curve |
Δ |
-31885280000 = -1 · 28 · 54 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- -4 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273775,55136450] |
[a1,a2,a3,a4,a6] |
Generators |
[8157:28:27] |
Generators of the group modulo torsion |
j |
-14183554845790800/199283 |
j-invariant |
L |
13.372030175124 |
L(r)(E,1)/r! |
Ω |
0.83005966864156 |
Real period |
R |
2.0137151980568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116200r1 |
Quadratic twists by: 5 |