Atkin-Lehner |
2- 3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450cs |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-1432741816406250 = -1 · 2 · 33 · 510 · 73 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 3 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15638,-1971858] |
[a1,a2,a3,a4,a6] |
Generators |
[10612:-3437:64] |
Generators of the group modulo torsion |
j |
-43308090025/146712762 |
j-invariant |
L |
14.323055624871 |
L(r)(E,1)/r! |
Ω |
0.19627107854697 |
Real period |
R |
4.0542158233016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450n1 |
Quadratic twists by: 5 |