Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352be |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
1134821376 = 218 · 32 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 2 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-577,4895] |
[a1,a2,a3,a4,a6] |
Generators |
[10:15:1] |
Generators of the group modulo torsion |
j |
81182737/4329 |
j-invariant |
L |
8.2263376866547 |
L(r)(E,1)/r! |
Ω |
1.5238445341753 |
Real period |
R |
2.6992050347019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352bw1 1443c1 |
Quadratic twists by: -4 8 |