Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
83232y |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-976382817501888 = -1 · 26 · 37 · 178 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 -2 -5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14739,-1336336] |
[a1,a2,a3,a4,a6] |
Generators |
[289:-5202:1] |
Generators of the group modulo torsion |
j |
1088/3 |
j-invariant |
L |
2.5370333249696 |
L(r)(E,1)/r! |
Ω |
0.25435758058669 |
Real period |
R |
0.41559493403047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83232x1 27744u1 83232k1 |
Quadratic twists by: -4 -3 17 |