Atkin-Lehner |
2+ 3+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89352b |
Isogeny class |
Conductor |
89352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71040 |
Modular degree for the optimal curve |
Δ |
-6253210368 = -1 · 28 · 39 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 6 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108,3780] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:54:1] |
Generators of the group modulo torsion |
j |
27648/1241 |
j-invariant |
L |
5.5930619334709 |
L(r)(E,1)/r! |
Ω |
1.016352250142 |
Real period |
R |
0.68788428696514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999826863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89352m1 |
Quadratic twists by: -3 |